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151164 = 2232131719
BaseRepresentation
bin100100111001111100
321200100200
4210321330
514314124
63123500
71166466
oct447174
9250320
10151164
11a3632
1273590
1353a60
143d136
152ebc9
hex24e7c

151164 has 72 divisors (see below), whose sum is σ = 458640. Its totient is φ = 41472.

The previous prime is 151163. The next prime is 151169. The reversal of 151164 is 461151.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7947 + ... + 7965.

It is an arithmetic number, because the mean of its divisors is an integer number (6370).

2151164 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 151164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229320).

151164 is an abundant number, since it is smaller than the sum of its proper divisors (307476).

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

151164 is a wasteful number, since it uses less digits than its factorization.

151164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 54 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 151164 is about 388.7981481437. The cubic root of 151164 is about 53.2700116547.

The spelling of 151164 in words is "one hundred fifty-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 17 18 19 26 34 36 38 39 51 52 57 68 76 78 102 114 117 153 156 171 204 221 228 234 247 306 323 342 442 468 494 612 646 663 684 741 884 969 988 1292 1326 1482 1938 1989 2223 2652 2907 2964 3876 3978 4199 4446 5814 7956 8398 8892 11628 12597 16796 25194 37791 50388 75582 151164