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126708816 = 24313251809
BaseRepresentation
bin1111000110101…
…10110001010000
322211102110211010
413203112301100
5224414140231
620323450520
73066002313
oct743266120
9284373733
10126708816
1165584233
1236526a40
1320335740
1412b8497a
15b1cd546
hex78d6c50

126708816 has 80 divisors (see below), whose sum is σ = 354352320. Its totient is φ = 38784000.

The previous prime is 126708809. The next prime is 126708847. The reversal of 126708816 is 618807621.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 156220 + ... + 157028.

It is an arithmetic number, because the mean of its divisors is an integer number (4429404).

Almost surely, 2126708816 is an apocalyptic number.

126708816 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 126708816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177176160).

126708816 is an abundant number, since it is smaller than the sum of its proper divisors (227643504).

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

126708816 is a wasteful number, since it uses less digits than its factorization.

126708816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 126708816 is about 11256.5010549460. The cubic root of 126708816 is about 502.2681170660.

The spelling of 126708816 in words is "one hundred twenty-six million, seven hundred eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 251 312 502 624 753 809 1004 1506 1618 2008 2427 3012 3236 3263 4016 4854 6024 6472 6526 9708 9789 10517 12048 12944 13052 19416 19578 21034 26104 31551 38832 39156 42068 52208 63102 78312 84136 126204 156624 168272 203059 252408 406118 504816 609177 812236 1218354 1624472 2436708 2639767 3248944 4873416 5279534 7919301 9746832 10559068 15838602 21118136 31677204 42236272 63354408 126708816