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125228096 = 2673171127
BaseRepresentation
bin1110111011011…
…01010001000000
322201122020122122
413131231101000
5224024244341
620232023412
73050264330
oct735552100
9281566578
10125228096
11647627a4
1235b31b68
131cc37786
14128bb0c0
15aed994b
hex776d440

125228096 has 112 divisors (see below), whose sum is σ = 299630592. Its totient is φ = 50803200.

The previous prime is 125228071. The next prime is 125228101. The reversal of 125228096 is 690822521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 985985 + ... + 986111.

Almost surely, 2125228096 is an apocalyptic number.

125228096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125228096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149815296).

125228096 is an abundant number, since it is smaller than the sum of its proper divisors (174402496).

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

125228096 is a wasteful number, since it uses less digits than its factorization.

125228096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 125228096 is about 11190.5360014612. The cubic root of 125228096 is about 500.3039431996.

The spelling of 125228096 in words is "one hundred twenty-five million, two hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 71 112 124 127 142 217 224 248 254 284 434 448 496 497 508 568 868 889 992 994 1016 1136 1736 1778 1984 1988 2032 2201 2272 3472 3556 3937 3976 4064 4402 4544 6944 7112 7874 7952 8128 8804 9017 13888 14224 15407 15748 15904 17608 18034 27559 28448 30814 31496 31808 35216 36068 55118 56896 61628 62992 63119 70432 72136 110236 123256 125984 126238 140864 144272 220472 246512 251968 252476 279527 288544 440944 493024 504952 559054 577088 881888 986048 1009904 1118108 1763776 1956689 2019808 2236216 3913378 4039616 4472432 7826756 8944864 15653512 17889728 31307024 62614048 125228096