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151513232 = 24132137409
BaseRepresentation
bin10010000011111…
…10100010010000
3101120002200002012
421001332202100
5302241410412
623011242052
73516561353
oct1101764220
9346080065
10151513232
1178586152
12428a9328
132550b900
14161a029a
15d47cc22
hex907e890

151513232 has 60 divisors (see below), whose sum is σ = 320978340. Its totient is φ = 69249024.

The previous prime is 151513223. The next prime is 151513237. The reversal of 151513232 is 232315151.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1597696 + 149915536 = 1264^2 + 12244^2 .

It is a junction number, because it is equal to n+sod(n) for n = 151513198 and 151513207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151513237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 370244 + ... + 370652.

It is an arithmetic number, because the mean of its divisors is an integer number (5349639).

Almost surely, 2151513232 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 151513232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160489170).

151513232 is an abundant number, since it is smaller than the sum of its proper divisors (169465108).

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

151513232 is a wasteful number, since it uses less digits than its factorization.

151513232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 561 counting only the distinct ones).

The product of its digits is 900, while the sum is 23.

The square root of 151513232 is about 12309.0711266123. The cubic root of 151513232 is about 533.1100308236.

Adding to 151513232 its reverse (232315151), we get a palindrome (383828383).

The spelling of 151513232 in words is "one hundred fifty-one million, five hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 137 169 208 274 338 409 548 676 818 1096 1352 1636 1781 2192 2704 3272 3562 5317 6544 7124 10634 14248 21268 23153 28496 42536 46306 56033 69121 85072 92612 112066 138242 185224 224132 276484 370448 448264 552968 728429 896528 1105936 1456858 2913716 5827432 9469577 11654864 18939154 37878308 75756616 151513232