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126655104 = 2732271453
BaseRepresentation
bin1111000110010…
…01101010000000
322211022202010210
413203021222000
5224410430404
620322354120
73065356602
oct743115200
9284282123
10126655104
1165547944
12364bb940
1320317164
1412b6d172
15b1bc689
hex78c9a80

126655104 has 64 divisors (see below), whose sum is σ = 338142240. Its totient is φ = 42003456.

The previous prime is 126655079. The next prime is 126655127. The reversal of 126655104 is 401556621.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86442 + ... + 87894.

Almost surely, 2126655104 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 126655104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169071120).

126655104 is an abundant number, since it is smaller than the sum of its proper divisors (211487136).

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

126655104 is a wasteful number, since it uses less digits than its factorization.

126655104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 126655104 is about 11254.1149807526. The cubic root of 126655104 is about 502.1971363749.

The spelling of 126655104 in words is "one hundred twenty-six million, six hundred fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 227 384 454 681 908 1362 1453 1816 2724 2906 3632 4359 5448 5812 7264 8718 10896 11624 14528 17436 21792 23248 29056 34872 43584 46496 69744 87168 92992 139488 185984 278976 329831 557952 659662 989493 1319324 1978986 2638648 3957972 5277296 7915944 10554592 15831888 21109184 31663776 42218368 63327552 126655104