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120000000 = 29357
BaseRepresentation
bin1110010011100…
…00111000000000
322100210122001110
413021300320000
5221210000000
615524003320
72654661141
oct711607000
9270718043
10120000000
116181185a
1234230540
131bb26c23
1411d19ac8
15a805850
hex7270e00

120000000 has 160 divisors (see below), whose sum is σ = 399608352. Its totient is φ = 32000000.

The previous prime is 119999987. The next prime is 120000007. The reversal of 120000000 is 21.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 120000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120000007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23999998 + ... + 24000002.

Almost surely, 2120000000 is an apocalyptic number.

120000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199804176).

120000000 is an abundant number, since it is smaller than the sum of its proper divisors (279608352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120000000 is an frugal number, since it uses more digits than its factorization.

120000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 3.

The square root of 120000000 is about 10954.4511501033. The cubic root of 120000000 is about 493.2424148661.

Adding to 120000000 its reverse (21), we get a palindrome (120000021).

The spelling of 120000000 in words is "one hundred twenty million", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 512 600 625 640 750 768 800 960 1000 1200 1250 1280 1500 1536 1600 1875 1920 2000 2400 2500 2560 3000 3125 3200 3750 3840 4000 4800 5000 6000 6250 6400 7500 7680 8000 9375 9600 10000 12000 12500 12800 15000 15625 16000 18750 19200 20000 24000 25000 30000 31250 32000 37500 38400 40000 46875 48000 50000 60000 62500 64000 75000 78125 80000 93750 96000 100000 120000 125000 150000 156250 160000 187500 192000 200000 234375 240000 250000 300000 312500 320000 375000 400000 468750 480000 500000 600000 625000 750000 800000 937500 960000 1000000 1200000 1250000 1500000 1600000 1875000 2000000 2400000 2500000 3000000 3750000 4000000 4800000 5000000 6000000 7500000 8000000 10000000 12000000 15000000 20000000 24000000 30000000 40000000 60000000 120000000