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126268704 = 25323114143
BaseRepresentation
bin1111000011010…
…11010100100000
322210121010002200
413201223110200
5224311044304
620310213200
73062160222
oct741532440
9283533080
10126268704
1165303601
1236354200
1320210313
1412aac412
15b142e39
hex786b520

126268704 has 72 divisors (see below), whose sum is σ = 370685952. Its totient is φ = 40728960.

The previous prime is 126268693. The next prime is 126268717. The reversal of 126268704 is 407862621.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1857 + ... + 15999.

It is an arithmetic number, because the mean of its divisors is an integer number (5148416).

Almost surely, 2126268704 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 126268704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185342976).

126268704 is an abundant number, since it is smaller than the sum of its proper divisors (244417248).

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

126268704 is a wasteful number, since it uses less digits than its factorization.

126268704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14190 (or 14179 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 126268704 is about 11236.9348133733. The cubic root of 126268704 is about 501.6859143299.

The spelling of 126268704 in words is "one hundred twenty-six million, two hundred sixty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 14143 28286 42429 56572 84858 113144 127287 169716 226288 254574 339432 438433 452576 509148 678864 876866 1018296 1315299 1357728 1753732 2036592 2630598 3507464 3945897 4073184 5261196 7014928 7891794 10522392 14029856 15783588 21044784 31567176 42089568 63134352 126268704