Search a number
-
+
12000000 = 28356
BaseRepresentation
bin101101110001…
…101100000000
3211120122220110
4231301230000
511033000000
61105111320
7203666265
oct55615400
924518813
1012000000
116856861
124028540
132641cbc
14184526c
1510c0850
hexb71b00

12000000 has 126 divisors (see below), whose sum is σ = 39921364. Its totient is φ = 3200000.

The previous prime is 11999989. The next prime is 12000017. The reversal of 12000000 is 21.

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 an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2399998 + ... + 2400002.

Almost surely, 212000000 is an apocalyptic number.

12000000 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 12000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19960682).

12000000 is an abundant number, since it is smaller than the sum of its proper divisors (27921364).

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

12000000 is an frugal number, since it uses more digits than its factorization.

12000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 10 counting only the distinct ones).

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

The square root of 12000000 is about 3464.1016151378. The cubic root of 12000000 is about 228.9428485107.

Adding to 12000000 its reverse (21), we get a palindrome (12000021).

The spelling of 12000000 in words is "twelve million", and thus it is an aban number and an uban 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 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 600 625 640 750 768 800 960 1000 1200 1250 1280 1500 1600 1875 1920 2000 2400 2500 3000 3125 3200 3750 3840 4000 4800 5000 6000 6250 6400 7500 8000 9375 9600 10000 12000 12500 15000 15625 16000 18750 19200 20000 24000 25000 30000 31250 32000 37500 40000 46875 48000 50000 60000 62500 75000 80000 93750 96000 100000 120000 125000 150000 160000 187500 200000 240000 250000 300000 375000 400000 480000 500000 600000 750000 800000 1000000 1200000 1500000 2000000 2400000 3000000 4000000 6000000 12000000