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151650432 = 2732131641
BaseRepresentation
bin10010000101000…
…00000010000000
3101120100122021200
421002200002000
5302310303212
623014221200
73521002353
oct1102400200
9346318250
10151650432
117866a23a
1242954800
13255591ab
14161d829a
15d4a86dc
hex90a0080

151650432 has 48 divisors (see below), whose sum is σ = 436393230. Its totient is φ = 50549760.

The previous prime is 151650409. The next prime is 151650439. The reversal of 151650432 is 234056151.

151650432 is a `hidden beast` number, since 1 + 5 + 1 + 650 + 4 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 138862656 + 12787776 = 11784^2 + 3576^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 151650396 and 151650405.

It is not an unprimeable number, because it can be changed into a prime (151650439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 64669 + ... + 66972.

Almost surely, 2151650432 is an apocalyptic number.

151650432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

151650432 is an abundant number, since it is smaller than the sum of its proper divisors (284742798).

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

151650432 is a wasteful number, since it uses less digits than its factorization.

151650432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131661 (or 131646 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 151650432 is about 12314.6429911711. The cubic root of 151650432 is about 533.2708982468.

The spelling of 151650432 in words is "one hundred fifty-one million, six hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 131641 263282 394923 526564 789846 1053128 1184769 1579692 2106256 2369538 3159384 4212512 4739076 6318768 8425024 9478152 12637536 16850048 18956304 25275072 37912608 50550144 75825216 151650432