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126872832 = 28331732
BaseRepresentation
bin1111000111111…
…10110100000000
322211201210210210
413203332310000
5224434412312
620331154120
73100254432
oct743766400
9284653723
10126872832
1165686489
12365a5940
13203922a8
1412bc8652
15b211e3c
hex78fed00

126872832 has 108 divisors (see below), whose sum is σ = 353399424. Its totient is φ = 40366080.

The previous prime is 126872783. The next prime is 126872849. The reversal of 126872832 is 238278621.

It is a congruent number.

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, 1737948 + ... + 1738020.

Almost surely, 2126872832 is an apocalyptic number.

126872832 is a gapful number since it is divisible by the number (12) 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 126872832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176699712).

126872832 is an abundant number, since it is smaller than the sum of its proper divisors (226526592).

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

126872832 is an frugal number, since it uses more digits than its factorization.

126872832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 109 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 126872832 is about 11263.7840888398. The cubic root of 126872832 is about 502.4847410034.

The spelling of 126872832 in words is "one hundred twenty-six million, eight hundred seventy-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 73 93 96 124 128 146 186 192 219 248 256 292 372 384 438 496 584 744 768 876 992 1168 1488 1752 1984 2263 2336 2976 3504 3968 4526 4672 5329 5952 6789 7008 7936 9052 9344 10658 11904 13578 14016 15987 18104 18688 21316 23808 27156 28032 31974 36208 42632 54312 56064 63948 72416 85264 108624 127896 144832 165199 170528 217248 255792 289664 330398 341056 434496 495597 511584 579328 660796 682112 868992 991194 1023168 1321592 1364224 1737984 1982388 2046336 2643184 3964776 4092672 5286368 7929552 10572736 15859104 21145472 31718208 42290944 63436416 126872832