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127961344 = 28721012
BaseRepresentation
bin1111010000010…
…00100100000000
322220210002222001
413220020210000
5230224230334
620410353344
73112440100
oct750104400
9286702861
10127961344
116625a285
1236a2b854
1320683894
1412dcd200
15b379714
hex7a08900

127961344 has 81 divisors (see below), whose sum is σ = 300095481. Its totient is φ = 54297600.

The previous prime is 127961321. The next prime is 127961359. The reversal of 127961344 is 443169721.

The square root of 127961344 is 11312.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 122943744 + 5017600 = 11088^2 + 2240^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1266894 + ... + 1266994.

Almost surely, 2127961344 is an apocalyptic number.

127961344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

127961344 is the 11312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127961344

127961344 is an abundant number, since it is smaller than the sum of its proper divisors (172134137).

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

127961344 is an frugal number, since it uses more digits than its factorization.

127961344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 110 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The cubic root of 127961344 is about 503.9176820290.

The spelling of 127961344 in words is "one hundred twenty-seven million, nine hundred sixty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 101 112 128 196 202 224 256 392 404 448 707 784 808 896 1414 1568 1616 1792 2828 3136 3232 4949 5656 6272 6464 9898 10201 11312 12544 12928 19796 20402 22624 25856 39592 40804 45248 71407 79184 81608 90496 142814 158368 163216 180992 285628 316736 326432 499849 571256 633472 652864 999698 1142512 1266944 1305728 1999396 2285024 2611456 3998792 4570048 7997584 9140096 15995168 18280192 31990336 63980672 127961344