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151236768 = 25315110433
BaseRepresentation
bin10010000001110…
…11000010100000
3101112120121211210
421000323002200
5302204034033
623001310120
73514330344
oct1100730240
9345517753
10151236768
1178407471
1242795340
1325442b17
141612b624
15d425d63
hex903b0a0

151236768 has 48 divisors (see below), whose sum is σ = 399663936. Its totient is φ = 50073600.

The previous prime is 151236763. The next prime is 151236781. The reversal of 151236768 is 867632151.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (151236763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9280 + ... + 19712.

It is an arithmetic number, because the mean of its divisors is an integer number (8326332).

Almost surely, 2151236768 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 151236768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199831968).

151236768 is an abundant number, since it is smaller than the sum of its proper divisors (248427168).

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

151236768 is a wasteful number, since it uses less digits than its factorization.

151236768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10597 (or 10589 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 151236768 is about 12297.8359071830. The cubic root of 151236768 is about 532.7855806863.

The spelling of 151236768 in words is "one hundred fifty-one million, two hundred thirty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 151 302 453 604 906 1208 1812 2416 3624 4832 7248 10433 14496 20866 31299 41732 62598 83464 125196 166928 250392 333856 500784 1001568 1575383 3150766 4726149 6301532 9452298 12603064 18904596 25206128 37809192 50412256 75618384 151236768