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113268240 = 24335411279
BaseRepresentation
bin1101100000001…
…01011000010000
321220010121211000
412300011120100
5212444040430
615123422000
72543523051
oct660053020
9256117730
10113268240
1158a34118
1231b24900
131a60ab37
1411086728
159e25e60
hex6c05610

113268240 has 160 divisors (see below), whose sum is σ = 399974400. Its totient is φ = 29445120.

The previous prime is 113268227. The next prime is 113268241. The reversal of 113268240 is 42862311.

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

It is not an unprimeable number, because it can be changed into a prime (113268241) 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, 87921 + ... + 89199.

It is an arithmetic number, because the mean of its divisors is an integer number (2499840).

Almost surely, 2113268240 is an apocalyptic number.

113268240 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 113268240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199987200).

113268240 is an abundant number, since it is smaller than the sum of its proper divisors (286706160).

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

113268240 is a wasteful number, since it uses less digits than its factorization.

113268240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 113268240 is about 10642.7552823505. The cubic root of 113268240 is about 483.8410561123.

The spelling of 113268240 in words is "one hundred thirteen million, two hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 41 45 48 54 60 72 80 82 90 108 120 123 135 144 164 180 205 216 240 246 270 328 360 369 410 432 492 540 615 656 720 738 820 984 1080 1107 1230 1279 1476 1640 1845 1968 2160 2214 2460 2558 2952 3280 3690 3837 4428 4920 5116 5535 5904 6395 7380 7674 8856 9840 10232 11070 11511 12790 14760 15348 17712 19185 20464 22140 23022 25580 29520 30696 34533 38370 44280 46044 51160 52439 57555 61392 69066 76740 88560 92088 102320 104878 115110 138132 153480 157317 172665 184176 209756 230220 262195 276264 306960 314634 345330 419512 460440 471951 524390 552528 629268 690660 786585 839024 920880 943902 1048780 1258536 1381320 1415853 1573170 1887804 2097560 2359755 2517072 2762640 2831706 3146340 3775608 4195120 4719510 5663412 6292680 7079265 7551216 9439020 11326824 12585360 14158530 18878040 22653648 28317060 37756080 56634120 113268240