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42130000 = 245411383
BaseRepresentation
bin1010000010110…
…1101001010000
32221021102111101
42200231221100
541241130000
64102554144
71021045663
oct240555120
987242441
1042130000
1121865990
1212138954
1389611c3
1458496da
153a72e6a
hex282da50

42130000 has 100 divisors (see below), whose sum is σ = 111564288. Its totient is φ = 15280000.

The previous prime is 42129959. The next prime is 42130009. The reversal of 42130000 is 3124.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42130009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 109809 + ... + 110191.

Almost surely, 242130000 is an apocalyptic number.

42130000 is a gapful number since it is divisible by the number (40) 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 42130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55782144).

42130000 is an abundant number, since it is smaller than the sum of its proper divisors (69434288).

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

42130000 is a wasteful number, since it uses less digits than its factorization.

42130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 42130000 is about 6490.7626670523. The cubic root of 42130000 is about 347.9609327703.

Adding to 42130000 its reverse (3124), we get a palindrome (42133124).

The spelling of 42130000 in words is "forty-two million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 383 400 440 500 550 625 766 880 1000 1100 1250 1375 1532 1915 2000 2200 2500 2750 3064 3830 4213 4400 5000 5500 6128 6875 7660 8426 9575 10000 11000 13750 15320 16852 19150 21065 22000 27500 30640 33704 38300 42130 47875 55000 67408 76600 84260 95750 105325 110000 153200 168520 191500 210650 239375 337040 383000 421300 478750 526625 766000 842600 957500 1053250 1685200 1915000 2106500 2633125 3830000 4213000 5266250 8426000 10532500 21065000 42130000