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152680 = 23511347
BaseRepresentation
bin100101010001101000
321202102211
4211101220
514341210
63134504
71204063
oct452150
9252384
10152680
11a4790
1274434
1354658
143d8da
153038a
hex25468

152680 has 32 divisors (see below), whose sum is σ = 375840. Its totient is φ = 55360.

The previous prime is 152671. The next prime is 152681. The reversal of 152680 is 86251.

It is a happy number.

It is a super-2 number, since 2×1526802 = 46622364800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (152681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 267 + ... + 613.

It is an arithmetic number, because the mean of its divisors is an integer number (11745).

2152680 is an apocalyptic number.

152680 is a gapful number since it is divisible by the number (10) 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 152680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187920).

152680 is an abundant number, since it is smaller than the sum of its proper divisors (223160).

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

152680 is a wasteful number, since it uses less digits than its factorization.

152680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 152680 is about 390.7428822128. The cubic root of 152680 is about 53.4474984996.

The spelling of 152680 in words is "one hundred fifty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 347 440 694 1388 1735 2776 3470 3817 6940 7634 13880 15268 19085 30536 38170 76340 152680