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126928384 = 291131727
BaseRepresentation
bin1111001000011…
…00011000000000
322211211122000021
413210030120000
5224443202014
620332303224
73100605412
oct744143000
9284748007
10126928384
11657141a0
1236611b14
13203b166b
1412c009b2
15b223624
hex790c600

126928384 has 80 divisors (see below), whose sum is σ = 285981696. Its totient is φ = 55756800.

The previous prime is 126928367. The next prime is 126928391. The reversal of 126928384 is 483829621.

It is a super-2 number, since 2×1269283842 = 32221629329702912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 126928384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174229 + ... + 174955.

Almost surely, 2126928384 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 126928384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142990848).

126928384 is an abundant number, since it is smaller than the sum of its proper divisors (159053312).

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

126928384 is an equidigital number, since it uses as much as digits as its factorization.

126928384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 771 counting only the distinct ones).

The product of its digits is 165888, while the sum is 43.

The square root of 126928384 is about 11266.2497753245. The cubic root of 126928384 is about 502.5580689145.

The spelling of 126928384 in words is "one hundred twenty-six million, nine hundred twenty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 256 341 352 496 512 682 704 727 992 1364 1408 1454 1984 2728 2816 2908 3968 5456 5632 5816 7936 7997 10912 11632 15872 15994 21824 22537 23264 31988 43648 45074 46528 63976 87296 90148 93056 127952 174592 180296 186112 247907 255904 360592 372224 495814 511808 721184 991628 1023616 1442368 1983256 2047232 2884736 3966512 4094464 5769472 7933024 11538944 15866048 31732096 63464192 126928384