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113336064 = 283319863
BaseRepresentation
bin1101100000101…
…01111100000000
321220021001212000
412300111330000
5213003223224
615125104000
72544224562
oct660257400
9256231760
10113336064
1158a80076
1231b58000
131a63297a
14110a3332
159e3b0c9
hex6c15f00

113336064 has 144 divisors (see below), whose sum is σ = 353203200. Its totient is φ = 35748864.

The previous prime is 113336063. The next prime is 113336081. The reversal of 113336064 is 460633311.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113336063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130897 + ... + 131759.

It is an arithmetic number, because the mean of its divisors is an integer number (2452800).

Almost surely, 2113336064 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 113336064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176601600).

113336064 is an abundant number, since it is smaller than the sum of its proper divisors (239867136).

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

113336064 is an equidigital number, since it uses as much as digits as its factorization.

113336064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 113336064 is about 10645.9411984098. The cubic root of 113336064 is about 483.9376100624.

Adding to 113336064 its reverse (460633311), we get a palindrome (573969375).

The spelling of 113336064 in words is "one hundred thirteen million, three hundred thirty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 256 288 304 342 384 432 456 513 576 608 684 768 863 864 912 1026 1152 1216 1368 1726 1728 1824 2052 2304 2432 2589 2736 3452 3456 3648 4104 4864 5178 5472 6904 6912 7296 7767 8208 10356 10944 13808 14592 15534 16397 16416 20712 21888 23301 27616 31068 32794 32832 41424 43776 46602 49191 55232 62136 65588 65664 82848 93204 98382 110464 124272 131176 131328 147573 165696 186408 196764 220928 248544 262352 295146 331392 372816 393528 442719 497088 524704 590292 662784 745632 787056 885438 994176 1049408 1180584 1491264 1574112 1770876 1988352 2098816 2361168 2982528 3148224 3541752 4197632 4722336 5965056 6296448 7083504 9444672 12592896 14167008 18889344 28334016 37778688 56668032 113336064