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113294064 = 24313473863
BaseRepresentation
bin1101100000010…
…11101011110000
321220011221020110
412300023223300
5213000402224
615124141320
72543661252
oct660135360
9256157213
10113294064
1158a51564
1231b37840
131a619810
1411091cd2
159e2d929
hex6c0baf0

113294064 has 80 divisors (see below), whose sum is σ = 321979392. Its totient is φ = 34109184.

The previous prime is 113294059. The next prime is 113294107. The reversal of 113294064 is 460492311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27397 + ... + 31259.

Almost surely, 2113294064 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 113294064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160989696).

113294064 is an abundant number, since it is smaller than the sum of its proper divisors (208685328).

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

113294064 is a wasteful number, since it uses less digits than its factorization.

113294064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3934 (or 3928 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 113294064 is about 10643.9684328731. The cubic root of 113294064 is about 483.8778235886.

The spelling of 113294064 in words is "one hundred thirteen million, two hundred ninety-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 47 48 52 78 94 104 141 156 188 208 282 312 376 564 611 624 752 1128 1222 1833 2256 2444 3666 3863 4888 7332 7726 9776 11589 14664 15452 23178 29328 30904 46356 50219 61808 92712 100438 150657 181561 185424 200876 301314 363122 401752 544683 602628 726244 803504 1089366 1205256 1452488 2178732 2360293 2410512 2904976 4357464 4720586 7080879 8714928 9441172 14161758 18882344 28323516 37764688 56647032 113294064