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151940568 = 2331319371
BaseRepresentation
bin10010000111001…
…10110111011000
3101120220101021110
421003212313120
5302344044233
623024340320
73523321263
oct1103466730
9346811243
10151940568
117884821a
1242a746a0
132562b280
1416271cda
15d514663
hex90e6dd8

151940568 has 128 divisors (see below), whose sum is σ = 437875200. Its totient is φ = 43666560.

The previous prime is 151940567. The next prime is 151940573. The reversal of 151940568 is 865049151.

151940568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151940561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2139973 + ... + 2140043.

It is an arithmetic number, because the mean of its divisors is an integer number (3420900).

Almost surely, 2151940568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151940568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218937600).

151940568 is an abundant number, since it is smaller than the sum of its proper divisors (285934632).

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

151940568 is a wasteful number, since it uses less digits than its factorization.

151940568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The square root of 151940568 is about 12326.4174844113. The cubic root of 151940568 is about 533.6107643406.

The spelling of 151940568 in words is "one hundred fifty-one million, nine hundred forty thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 71 76 78 104 114 142 152 156 213 228 247 284 312 361 426 456 494 568 722 741 852 923 988 1083 1349 1444 1482 1704 1846 1976 2166 2698 2769 2888 2964 3692 4047 4332 4693 5396 5538 5928 6859 7384 8094 8664 9386 10792 11076 13718 14079 16188 17537 18772 20577 22152 25631 27436 28158 32376 35074 37544 41154 51262 52611 54872 56316 70148 76893 82308 89167 102524 105222 112632 140296 153786 164616 178334 205048 210444 267501 307572 333203 356668 420888 486989 535002 615144 666406 713336 973978 999609 1070004 1332812 1460967 1947956 1999218 2140008 2665624 2921934 3895912 3998436 5843868 6330857 7996872 11687736 12661714 18992571 25323428 37985142 50646856 75970284 151940568