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660772116 = 223217792173
BaseRepresentation
bin100111011000101…
…001010100010100
31201001100200221100
4213120221110110
52323124201431
6145322350100
722242320214
oct4730512424
91631320840
10660772116
11309a96964
1216535b330
13a6b86124
1463a86244
153d0244e6
hex27629514

660772116 has 108 divisors (see below), whose sum is σ = 1801560852. Its totient is φ = 203493888.

The previous prime is 660772103. The next prime is 660772141. The reversal of 660772116 is 611277066.

It can be written as a sum of positive squares in 2 ways, for example, as 561690000 + 99082116 = 23700^2 + 9954^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3819406 + ... + 3819578.

It is an arithmetic number, because the mean of its divisors is an integer number (16681119).

Almost surely, 2660772116 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 660772116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900780426).

660772116 is an abundant number, since it is smaller than the sum of its proper divisors (1140788736).

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

660772116 is a wasteful number, since it uses less digits than its factorization.

660772116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 660772116 is about 25705.4880521650. The cubic root of 660772116 is about 870.9981567879.

The spelling of 660772116 in words is "six hundred sixty million, seven hundred seventy-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 79 102 153 158 173 204 237 306 316 346 474 519 612 692 711 948 1038 1343 1422 1557 2076 2686 2844 2941 3114 4029 5372 5882 6228 6241 8058 8823 11764 12087 12482 13667 16116 17646 18723 24174 24964 26469 27334 35292 37446 41001 48348 52938 54668 56169 74892 82002 105876 106097 112338 123003 164004 212194 224676 232339 246006 318291 424388 464678 492012 636582 697017 929356 954873 1079693 1273164 1394034 1909746 2091051 2159386 2788068 3239079 3819492 4182102 4318772 6478158 8364204 9717237 12956316 18354781 19434474 36709562 38868948 55064343 73419124 110128686 165193029 220257372 330386058 660772116