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132655104 = 211332399
BaseRepresentation
bin1111110100000…
…10100000000000
3100020121120121000
413322002200000
5232424430404
621055132000
73200356401
oct772024000
9306546530
10132655104
116897581a
1238514000
132163815a
14138919a8
15b9a5339
hex7e82800

132655104 has 96 divisors (see below), whose sum is σ = 393120000. Its totient is φ = 44199936.

The previous prime is 132655091. The next prime is 132655121. The reversal of 132655104 is 401556231.

132655104 is a `hidden beast` number, since 1 + 3 + 2 + 655 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 54097 + ... + 56495.

It is an arithmetic number, because the mean of its divisors is an integer number (4095000).

Almost surely, 2132655104 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 132655104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196560000).

132655104 is an abundant number, since it is smaller than the sum of its proper divisors (260464896).

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

132655104 is an equidigital number, since it uses as much as digits as its factorization.

132655104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 132655104 is about 11517.5997499479. The cubic root of 132655104 is about 510.0052594613.

The spelling of 132655104 in words is "one hundred thirty-two million, six hundred fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 2399 3072 3456 4608 4798 6144 6912 7197 9216 9596 13824 14394 18432 19192 21591 27648 28788 38384 43182 55296 57576 64773 76768 86364 115152 129546 153536 172728 230304 259092 307072 345456 460608 518184 614144 690912 921216 1036368 1228288 1381824 1842432 2072736 2456576 2763648 3684864 4145472 4913152 5527296 7369728 8290944 11054592 14739456 16581888 22109184 33163776 44218368 66327552 132655104