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116294656 = 2103372
BaseRepresentation
bin1101110111010…
…00010000000000
322002211101021111
412323220100000
5214232412111
615312333104
72611326322
oct673502000
9262741244
10116294656
115a710995
1232b44194
131b12a50a
1411633612
15a322a21
hex6ee8400

116294656 has 33 divisors (see below), whose sum is σ = 233167629. Its totient is φ = 57974784.

The previous prime is 116294653. The next prime is 116294657. The reversal of 116294656 is 656492611.

It is a happy number.

The square root of 116294656 is 10784.

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., 31360000 + 84934656 = 5600^2 + 9216^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (116294653) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 344920 + ... + 345256.

Almost surely, 2116294656 is an apocalyptic number.

116294656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

116294656 is the 10784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116294656

116294656 is an abundant number, since it is smaller than the sum of its proper divisors (116872973).

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

116294656 is an frugal number, since it uses more digits than its factorization.

116294656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 339 counting only the distinct ones).

The product of its digits is 77760, while the sum is 40.

The cubic root of 116294656 is about 488.1124886253.

The spelling of 116294656 in words is "one hundred sixteen million, two hundred ninety-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 256 337 512 674 1024 1348 2696 5392 10784 21568 43136 86272 113569 172544 227138 345088 454276 908552 1817104 3634208 7268416 14536832 29073664 58147328 116294656