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126984128 = 261092167
BaseRepresentation
bin1111001000110…
…01111111000000
322211221110110212
413210121333000
5230001443003
620333413252
73101230055
oct744317700
9284843425
10126984128
1165752067
123663a228
1320400b4b
1412c1702c
15b234dd8
hex7919fc0

126984128 has 42 divisors (see below), whose sum is σ = 255839976. Its totient is φ = 62532864.

The previous prime is 126984097. The next prime is 126984133. The reversal of 126984128 is 821489621.

It is a super-2 number, since 2×1269841282 = 32249937527840768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 760301 + ... + 760467.

It is an arithmetic number, because the mean of its divisors is an integer number (6091428).

Almost surely, 2126984128 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 126984128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127919988).

126984128 is an abundant number, since it is smaller than the sum of its proper divisors (128855848).

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

126984128 is an equidigital number, since it uses as much as digits as its factorization.

126984128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 278 counting only the distinct ones).

The product of its digits is 55296, while the sum is 41.

The square root of 126984128 is about 11268.7234414551. The cubic root of 126984128 is about 502.6316287598.

The spelling of 126984128 in words is "one hundred twenty-six million, nine hundred eighty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 109 167 218 334 436 668 872 1336 1744 2672 3488 5344 6976 10688 11881 18203 23762 36406 47524 72812 95048 145624 190096 291248 380192 582496 760384 1164992 1984127 3968254 7936508 15873016 31746032 63492064 126984128