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126096816 = 2433118447
BaseRepresentation
bin1111000010000…
…01010110110000
322210021101022110
413201001112300
5224240044231
620302405320
73060543126
oct741012660
9283241273
10126096816
11651a644a
1236290840
1320180001
1412a65916
15b10c046
hex78415b0

126096816 has 40 divisors (see below), whose sum is σ = 326836224. Its totient is φ = 41892160.

The previous prime is 126096797. The next prime is 126096827. The reversal of 126096816 is 618690621.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10705 + ... + 19151.

Almost surely, 2126096816 is an apocalyptic number.

126096816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

126096816 is an abundant number, since it is smaller than the sum of its proper divisors (200739408).

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

126096816 is a wasteful number, since it uses less digits than its factorization.

126096816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8769 (or 8763 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 126096816 is about 11229.2838596235. The cubic root of 126096816 is about 501.4581647108.

The spelling of 126096816 in words is "one hundred twenty-six million, ninety-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 311 622 933 1244 1866 2488 3732 4976 7464 8447 14928 16894 25341 33788 50682 67576 101364 135152 202728 405456 2627017 5254034 7881051 10508068 15762102 21016136 31524204 42032272 63048408 126096816