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113264140 = 225112941433
BaseRepresentation
bin1101100000001…
…00011000001100
321220010102012011
412300010120030
5212443423030
615123351004
72543505103
oct660043014
9256112164
10113264140
1158a31030
1231b22464
131a609002
141108503a
159e24b2a
hex6c0460c

113264140 has 96 divisors (see below), whose sum is σ = 275607360. Its totient is φ = 38707200.

The previous prime is 113264119. The next prime is 113264143. The reversal of 113264140 is 41462311.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (113264143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261364 + ... + 261796.

It is an arithmetic number, because the mean of its divisors is an integer number (2870910).

Almost surely, 2113264140 is an apocalyptic number.

113264140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113264140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137803680).

113264140 is an abundant number, since it is smaller than the sum of its proper divisors (162343220).

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

113264140 is a wasteful number, since it uses less digits than its factorization.

113264140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 113264140 is about 10642.5626613142. The cubic root of 113264140 is about 483.8352181349.

The spelling of 113264140 in words is "one hundred thirteen million, two hundred sixty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 41 44 55 58 82 110 116 145 164 205 220 290 319 410 433 451 580 638 820 866 902 1189 1276 1595 1732 1804 2165 2255 2378 3190 4330 4510 4756 4763 5945 6380 8660 9020 9526 11890 12557 13079 17753 19052 23780 23815 25114 26158 35506 47630 50228 52316 62785 65395 71012 88765 95260 125570 130790 138127 177530 195283 251140 261580 276254 355060 390566 514837 552508 690635 781132 976415 1029674 1381270 1952830 2059348 2574185 2762540 3905660 5148370 5663207 10296740 11326414 22652828 28316035 56632070 113264140