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151007232 = 212312289
BaseRepresentation
bin10010000000000…
…11000000000000
3101112010221222110
421000003000000
5302124212412
622552335320
73512353215
oct1100030000
9345127873
10151007232
117826aa72
12426a4540
13253924bc
14160abb0c
15d3ccd3c
hex9003000

151007232 has 52 divisors (see below), whose sum is σ = 402669560. Its totient is φ = 50331648.

The previous prime is 151007201. The next prime is 151007251. The reversal of 151007232 is 232700151.

It is a junction number, because it is equal to n+sod(n) for n = 151007199 and 151007208.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6144 + ... + 18432.

Almost surely, 2151007232 is an apocalyptic number.

151007232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 12288×12289.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151007232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201334780).

151007232 is an abundant number, since it is smaller than the sum of its proper divisors (251662328).

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

151007232 is an equidigital number, since it uses as much as digits as its factorization.

151007232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12316 (or 12294 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 151007232 is about 12288.4999898279. The cubic root of 151007232 is about 532.5159033360.

Adding to 151007232 its reverse (232700151), we get a palindrome (383707383).

The spelling of 151007232 in words is "one hundred fifty-one million, seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 12288 12289 24578 36867 49156 73734 98312 147468 196624 294936 393248 589872 786496 1179744 1572992 2359488 3145984 4718976 6291968 9437952 12583936 18875904 25167872 37751808 50335744 75503616 151007232