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125116096 = 267317881
BaseRepresentation
bin1110111010100…
…01111011000000
322201102120000111
413131101323000
5224012203341
620225401104
73046316650
oct735217300
9281376014
10125116096
1164696636
1235a99194
131cbc87c1
141288c360
15aeb6681
hex7751ec0

125116096 has 56 divisors (see below), whose sum is σ = 284963616. Its totient is φ = 53391360.

The previous prime is 125116091. The next prime is 125116097. The reversal of 125116096 is 690611521.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125116091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141576 + ... + 142456.

It is an arithmetic number, because the mean of its divisors is an integer number (5088636).

Almost surely, 2125116096 is an apocalyptic number.

125116096 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 125116096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142481808).

125116096 is an abundant number, since it is smaller than the sum of its proper divisors (159847520).

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

125116096 is an equidigital number, since it uses as much as digits as its factorization.

125116096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 31.

The square root of 125116096 is about 11185.5306534827. The cubic root of 125116096 is about 500.1547467686.

The spelling of 125116096 in words is "one hundred twenty-five million, one hundred sixteen thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 317 448 634 881 1268 1762 2219 2536 3524 4438 5072 6167 7048 8876 10144 12334 14096 17752 20288 24668 28192 35504 49336 56384 71008 98672 142016 197344 279277 394688 558554 1117108 1954939 2234216 3909878 4468432 7819756 8936864 15639512 17873728 31279024 62558048 125116096