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114607608 = 233172571093
BaseRepresentation
bin1101101010011…
…00010111111000
321222122200002020
412311030113320
5213314420413
615212234440
72561101653
oct665142770
9258580066
10114607608
1159769435
123246ba20
131a98966b
141131489a
15a0dcc23
hex6d4c5f8

114607608 has 64 divisors (see below), whose sum is σ = 304832160. Its totient is φ = 35782656.

The previous prime is 114607579. The next prime is 114607609. The reversal of 114607608 is 806706411.

It is a happy number.

It is a super-2 number, since 2×1146076082 = 26269807622963328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114607609) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104310 + ... + 105402.

Almost surely, 2114607608 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 114607608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152416080).

114607608 is an abundant number, since it is smaller than the sum of its proper divisors (190224552).

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

114607608 is a wasteful number, since it uses less digits than its factorization.

114607608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 114607608 is about 10705.4942903165. The cubic root of 114607608 is about 485.7406870803.

The spelling of 114607608 in words is "one hundred fourteen million, six hundred seven thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 257 408 514 771 1028 1093 1542 2056 2186 3084 3279 4369 4372 6168 6558 8738 8744 13107 13116 17476 18581 26214 26232 34952 37162 52428 55743 74324 104856 111486 148648 222972 280901 445944 561802 842703 1123604 1685406 2247208 3370812 4775317 6741624 9550634 14325951 19101268 28651902 38202536 57303804 114607608