Search a number
-
+
107655156 = 2234726781
BaseRepresentation
bin1100110101010…
…10111111110100
321111120110010000
412122222333310
5210024431111
614403231300
72445024300
oct632527764
9244513100
10107655156
115584aa04
1230078530
13193c3c9b
1410424d00
1596b7c56
hex66aaff4

107655156 has 90 divisors (see below), whose sum is σ = 327428178. Its totient is φ = 30754080.

The previous prime is 107655139. The next prime is 107655209. The reversal of 107655156 is 651556701.

It can be written as a sum of positive squares in only one way, i.e., 89302500 + 18352656 = 9450^2 + 4284^2 .

It is a super-2 number, since 2×1076551562 = 23179265226768672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 107655156.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 12486 + ... + 19266.

Almost surely, 2107655156 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 107655156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163714089).

107655156 is an abundant number, since it is smaller than the sum of its proper divisors (219773022).

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

107655156 is a wasteful number, since it uses less digits than its factorization.

107655156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6811 (or 6793 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 107655156 is about 10375.7002655243. The cubic root of 107655156 is about 475.7129180106.

The spelling of 107655156 in words is "one hundred seven million, six hundred fifty-five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3969 5292 6781 7938 13562 15876 20343 27124 40686 47467 61029 81372 94934 122058 142401 183087 189868 244116 284802 332269 366174 427203 549261 569604 664538 732348 854406 996807 1098522 1281609 1329076 1708812 1993614 2197044 2563218 2990421 3844827 3987228 5126436 5980842 7689654 8971263 11961684 15379308 17942526 26913789 35885052 53827578 107655156