Search a number
-
+
125567104 = 2713591279
BaseRepresentation
bin1110111110000…
…00000010000000
322202021110200111
413133000002000
5224121121404
620243201104
73053205565
oct737000200
9282243614
10125567104
1164974473
1236076194
1320025b80
141296886c
15b055104
hex77c0080

125567104 has 64 divisors (see below), whose sum is σ = 274176000. Its totient is φ = 56927232.

The previous prime is 125567089. The next prime is 125567111. The reversal of 125567104 is 401765521.

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

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, 97537 + ... + 98815.

It is an arithmetic number, because the mean of its divisors is an integer number (4284000).

Almost surely, 2125567104 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 125567104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137088000).

125567104 is an abundant number, since it is smaller than the sum of its proper divisors (148608896).

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

125567104 is a wasteful number, since it uses less digits than its factorization.

125567104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 125567104 is about 11205.6728490528. The cubic root of 125567104 is about 500.7549980487.

The spelling of 125567104 in words is "one hundred twenty-five million, five hundred sixty-seven thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 59 64 104 118 128 208 236 416 472 767 832 944 1279 1534 1664 1888 2558 3068 3776 5116 6136 7552 10232 12272 16627 20464 24544 33254 40928 49088 66508 75461 81856 98176 133016 150922 163712 266032 301844 532064 603688 980993 1064128 1207376 1961986 2128256 2414752 3923972 4829504 7847944 9659008 15695888 31391776 62783552 125567104