Search a number
-
+
107659272 = 23372432129
BaseRepresentation
bin1100110101011…
…00000000001000
321111120122202110
412122230000020
5210030044042
614403302320
72445042300
oct632540010
9244518673
10107659272
1155853006
123007a9a0
13193c5b16
1410426600
1596b909c
hex66ac008

107659272 has 96 divisors (see below), whose sum is σ = 320522400. Its totient is φ = 30030336.

The previous prime is 107659261. The next prime is 107659289. The reversal of 107659272 is 272956701.

It is a self number, because there is not a number n which added to its sum of digits gives 107659272.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49504 + ... + 51632.

It is an arithmetic number, because the mean of its divisors is an integer number (3338775).

Almost surely, 2107659272 is an apocalyptic number.

107659272 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 107659272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160261200).

107659272 is an abundant number, since it is smaller than the sum of its proper divisors (212863128).

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

107659272 is a wasteful number, since it uses less digits than its factorization.

107659272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 107659272 is about 10375.8986116866. The cubic root of 107659272 is about 475.7189806074.

The spelling of 107659272 in words is "one hundred seven million, six hundred fifty-nine thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 49 56 84 86 98 129 147 168 172 196 258 294 301 344 392 516 588 602 903 1032 1176 1204 1806 2107 2129 2408 3612 4214 4258 6321 6387 7224 8428 8516 12642 12774 14903 16856 17032 25284 25548 29806 44709 50568 51096 59612 89418 91547 104321 119224 178836 183094 208642 274641 312963 357672 366188 417284 549282 625926 640829 732376 834568 1098564 1251852 1281658 1922487 2197128 2503704 2563316 3844974 4485803 5126632 7689948 8971606 13457409 15379896 17943212 26914818 35886424 53829636 107659272