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126981376 = 281493329
BaseRepresentation
bin1111001000110…
…01010100000000
322211221022200221
413210121110000
5230001401001
620333352424
73101216044
oct744312400
9284838627
10126981376
116574aa95
1236638714
13203cc812
1412c16024
15b2341a1
hex7919500

126981376 has 36 divisors (see below), whose sum is σ = 255244500. Its totient is φ = 63045632.

The previous prime is 126981359. The next prime is 126981391. The reversal of 126981376 is 673189621.

It can be written as a sum of positive squares in 2 ways, for example, as 30470400 + 96510976 = 5520^2 + 9824^2 .

It is a super-2 number, since 2×1269813762 = 32248539701706752, 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 3 ways as a sum of consecutive naturals, for example, 36480 + ... + 39808.

It is an arithmetic number, because the mean of its divisors is an integer number (7090125).

Almost surely, 2126981376 is an apocalyptic number.

126981376 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 126981376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127622250).

126981376 is an abundant number, since it is smaller than the sum of its proper divisors (128263124).

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

126981376 is an equidigital number, since it uses as much as digits as its factorization.

126981376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3494 (or 3480 counting only the distinct ones).

The product of its digits is 108864, while the sum is 43.

The square root of 126981376 is about 11268.6013329073. The cubic root of 126981376 is about 502.6279977227.

The spelling of 126981376 in words is "one hundred twenty-six million, nine hundred eighty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 149 256 298 596 1192 2384 3329 4768 6658 9536 13316 19072 26632 38144 53264 106528 213056 426112 496021 852224 992042 1984084 3968168 7936336 15872672 31745344 63490688 126981376