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132639104 = 2713791009
BaseRepresentation
bin1111110011111…
…10100110000000
3100020120202122102
413321332212000
5232423422404
621054525532
73200261633
oct771764600
9306522572
10132639104
11689647a4
12385068a8
1321630aa0
1413889c1a
15b9a071e
hex7e7e980

132639104 has 64 divisors (see below), whose sum is σ = 288456000. Its totient is φ = 60383232.

The previous prime is 132639097. The next prime is 132639113. The reversal of 132639104 is 401936231.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130952 + ... + 131960.

It is an arithmetic number, because the mean of its divisors is an integer number (4507125).

Almost surely, 2132639104 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 132639104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144228000).

132639104 is an abundant number, since it is smaller than the sum of its proper divisors (155816896).

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

132639104 is a wasteful number, since it uses less digits than its factorization.

132639104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 132639104 is about 11516.9051398368. The cubic root of 132639104 is about 509.9847541258.

The spelling of 132639104 in words is "one hundred thirty-two million, six hundred thirty-nine thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 79 104 128 158 208 316 416 632 832 1009 1027 1264 1664 2018 2054 2528 4036 4108 5056 8072 8216 10112 13117 16144 16432 26234 32288 32864 52468 64576 65728 79711 104936 129152 131456 159422 209872 318844 419744 637688 839488 1036243 1275376 1678976 2072486 2550752 4144972 5101504 8289944 10203008 16579888 33159776 66319552 132639104