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151032 = 23372931
BaseRepresentation
bin100100110111111000
321200011210
4210313320
514313112
63123120
71166220
oct446770
9250153
10151032
11a3522
12734a0
135398b
143d080
152eb3c
hex24df8

151032 has 64 divisors (see below), whose sum is σ = 460800. Its totient is φ = 40320.

The previous prime is 151027. The next prime is 151049. The reversal of 151032 is 230151.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 150999 and 151017.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 151032.

It is an unprimeable number.

151032 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4857 + ... + 4887.

It is an arithmetic number, because the mean of its divisors is an integer number (7200).

2151032 is an apocalyptic number.

151032 is a gapful number since it is divisible by the number (12) 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 151032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230400).

151032 is an abundant number, since it is smaller than the sum of its proper divisors (309768).

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

151032 is a wasteful number, since it uses less digits than its factorization.

151032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 151032 is about 388.6283571743. The cubic root of 151032 is about 53.2545015922.

Adding to 151032 its reverse (230151), we get a palindrome (381183).

The spelling of 151032 in words is "one hundred fifty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 31 42 56 58 62 84 87 93 116 124 168 174 186 203 217 232 248 348 372 406 434 609 651 696 744 812 868 899 1218 1302 1624 1736 1798 2436 2604 2697 3596 4872 5208 5394 6293 7192 10788 12586 18879 21576 25172 37758 50344 75516 151032