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125503168 = 267457613
BaseRepresentation
bin1110111101100…
…00011011000000
322202011012222111
413132300123000
5224112100133
620241545104
73052521310
oct736603300
9282135874
10125503168
116493042a
1236045194
1320002a3b
141294d440
15b0411cd
hex77b06c0

125503168 has 56 divisors (see below), whose sum is σ = 285711392. Its totient is φ = 53581824.

The previous prime is 125503141. The next prime is 125503171. The reversal of 125503168 is 861305521.

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

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 7 ways as a sum of consecutive naturals, for example, 204430 + ... + 205042.

Almost surely, 2125503168 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 125503168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142855696).

125503168 is an abundant number, since it is smaller than the sum of its proper divisors (160208224).

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

125503168 is an equidigital number, since it uses as much as digits as its factorization.

125503168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 125503168 is about 11202.8196450715. The cubic root of 125503168 is about 500.6699924858.

Adding to 125503168 its reverse (861305521), we get a palindrome (986808689).

The spelling of 125503168 in words is "one hundred twenty-five million, five hundred three thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 457 613 914 1226 1828 2452 3199 3656 4291 4904 6398 7312 8582 9808 12796 14624 17164 19616 25592 29248 34328 39232 51184 68656 102368 137312 204736 274624 280141 560282 1120564 1960987 2241128 3921974 4482256 7843948 8964512 15687896 17929024 31375792 62751584 125503168