Search a number
-
+
151708736 = 262324481
BaseRepresentation
bin10010000101011…
…10010001000000
3101120110121021002
421002232101000
5302314134421
623015351132
73521334344
oct1102562100
9346417232
10151708736
11786aa023
12429824a8
13255798aa
1416211624
15d4bab0b
hex90ae440

151708736 has 42 divisors (see below), whose sum is σ = 314775342. Its totient is φ = 72540160.

The previous prime is 151708727. The next prime is 151708771. The reversal of 151708736 is 637807151.

It can be written as a sum of positive squares in only one way, i.e., 143041600 + 8667136 = 11960^2 + 2944^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 151708736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31616 + ... + 36096.

It is an arithmetic number, because the mean of its divisors is an integer number (7494651).

Almost surely, 2151708736 is an apocalyptic number.

151708736 is a gapful number since it is divisible by the number (16) 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 151708736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157387671).

151708736 is an abundant number, since it is smaller than the sum of its proper divisors (163066606).

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

151708736 is an equidigital number, since it uses as much as digits as its factorization.

151708736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4539 (or 4506 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 38.

The square root of 151708736 is about 12317.0100267882. The cubic root of 151708736 is about 533.3392304903.

The spelling of 151708736 in words is "one hundred fifty-one million, seven hundred eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 529 736 1058 1472 2116 4232 4481 8464 8962 16928 17924 33856 35848 71696 103063 143392 206126 286784 412252 824504 1649008 2370449 3298016 4740898 6596032 9481796 18963592 37927184 75854368 151708736