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113160240 = 243555821
BaseRepresentation
bin1101011111010…
…11000000110000
321212221010200000
412233223000300
5212432111430
615121230000
72542563144
oct657530060
9255833600
10113160240
115896aa66
1231a92300
131a5a092b
1411059224
159e03e60
hex6beb030

113160240 has 120 divisors (see below), whose sum is σ = 394172688. Its totient is φ = 30170880.

The previous prime is 113160227. The next prime is 113160251. The reversal of 113160240 is 42061311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 16530 + ... + 22350.

Almost surely, 2113160240 is an apocalyptic number.

113160240 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 113160240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197086344).

113160240 is an abundant number, since it is smaller than the sum of its proper divisors (281012448).

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

113160240 is an equidigital number, since it uses as much as digits as its factorization.

113160240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5849 (or 5831 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 113160240 is about 10637.6801982387. The cubic root of 113160240 is about 483.6872281990.

The spelling of 113160240 in words is "one hundred thirteen million, one hundred sixty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 5821 6480 9720 11642 17463 19440 23284 29105 34926 46568 52389 58210 69852 87315 93136 104778 116420 139704 157167 174630 209556 232840 261945 279408 314334 349260 419112 465680 471501 523890 628668 698520 785835 838224 943002 1047780 1257336 1397040 1414503 1571670 1886004 2095560 2357505 2514672 2829006 3143340 3772008 4191120 4715010 5658012 6286680 7072515 7544016 9430020 11316024 12573360 14145030 18860040 22632048 28290060 37720080 56580120 113160240