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126868032 = 263424473
BaseRepresentation
bin1111000111111…
…01101001000000
322211201120020000
413203331221000
5224434234112
620331120000
73100234434
oct743755100
9284646200
10126868032
1165682915
12365a3000
1320390055
1412bc69c4
15b2107dc
hex78fda40

126868032 has 70 divisors (see below), whose sum is σ = 376091958. Its totient is φ = 42287616.

The previous prime is 126868003. The next prime is 126868033. The reversal of 126868032 is 230868621.

It can be written as a sum of positive squares in only one way, i.e., 119771136 + 7096896 = 10944^2 + 2664^2 .

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

It is not an unprimeable number, because it can be changed into a prime (126868033) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7053 + ... + 17420.

Almost surely, 2126868032 is an apocalyptic number.

126868032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

126868032 is an abundant number, since it is smaller than the sum of its proper divisors (249223926).

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

126868032 is an equidigital number, since it uses as much as digits as its factorization.

126868032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24497 (or 24478 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 126868032 is about 11263.5710145584. The cubic root of 126868032 is about 502.4784040619.

The spelling of 126868032 in words is "one hundred twenty-six million, eight hundred sixty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 24473 48946 73419 97892 146838 195784 220257 293676 391568 440514 587352 660771 783136 881028 1174704 1321542 1566272 1762056 1982313 2349408 2643084 3524112 3964626 4698816 5286168 7048224 7929252 10572336 14096448 15858504 21144672 31717008 42289344 63434016 126868032