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165680152 = 231119197503
BaseRepresentation
bin10011110000000…
…01010000011000
3102112202102102221
421320001100120
5314403231102
624235033424
74051154341
oct1170012030
9375672387
10165680152
1185581a50
124759b874
132842bcc1
141800b0c8
15e82a637
hex9e01418

165680152 has 64 divisors (see below), whose sum is σ = 359251200. Its totient is φ = 70842240.

The previous prime is 165680149. The next prime is 165680153. The reversal of 165680152 is 251086561.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165680153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 329133 + ... + 329635.

It is an arithmetic number, because the mean of its divisors is an integer number (5613300).

Almost surely, 2165680152 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 165680152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179625600).

165680152 is an abundant number, since it is smaller than the sum of its proper divisors (193571048).

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

165680152 is a wasteful number, since it uses less digits than its factorization.

165680152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 165680152 is about 12871.6802321997. The cubic root of 165680152 is about 549.2332588750.

The spelling of 165680152 in words is "one hundred sixty-five million, six hundred eighty thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 197 209 394 418 503 788 836 1006 1576 1672 2012 2167 3743 4024 4334 5533 7486 8668 9557 11066 14972 17336 19114 22132 29944 38228 41173 44264 76456 82346 99091 105127 164692 198182 210254 329384 396364 420508 792728 841016 1090001 1882729 2180002 3765458 4360004 7530916 8720008 15061832 20710019 41420038 82840076 165680152