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132163556 = 22729375383
BaseRepresentation
bin1111110000010…
…10011111100100
3100012200121022112
413320022133210
5232313213211
621040420152
73163241330
oct770123744
9305617275
10132163556
116866a488
1238317658
13214c54b5
14137a47c0
15b90988b
hex7e0a7e4

132163556 has 96 divisors (see below), whose sum is σ = 289578240. Its totient is φ = 51577344.

The previous prime is 132163531. The next prime is 132163579. The reversal of 132163556 is 655361231.

132163556 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1592291 + ... + 1592373.

It is an arithmetic number, because the mean of its divisors is an integer number (3016440).

Almost surely, 2132163556 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 132163556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144789120).

132163556 is an abundant number, since it is smaller than the sum of its proper divisors (157414684).

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

132163556 is a wasteful number, since it uses less digits than its factorization.

132163556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 211 counting only the distinct ones).

The product of its digits is 16200, while the sum is 32.

The square root of 132163556 is about 11496.2409508500. The cubic root of 132163556 is about 509.3745453269.

The spelling of 132163556 in words is "one hundred thirty-two million, one hundred sixty-three thousand, five hundred fifty-six".

Divisors: 1 2 4 7 14 28 29 37 53 58 74 83 106 116 148 166 203 212 259 332 371 406 518 581 742 812 1036 1073 1162 1484 1537 1961 2146 2324 2407 3071 3074 3922 4292 4399 4814 6142 6148 7511 7844 8798 9628 10759 12284 13727 15022 16849 17596 21497 21518 27454 30044 30793 33698 42994 43036 54908 56869 61586 67396 85988 89059 113738 123172 127571 162763 178118 227476 255142 325526 356236 398083 510284 623413 651052 796166 892997 1139341 1246826 1592332 1785994 2278682 2493652 3571988 4557364 4720127 9440254 18880508 33040889 66081778 132163556