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113103360 = 293254909
BaseRepresentation
bin1101011110111…
…01001000000000
321212211020122100
412233131020000
5212423301420
615120110400
72542235256
oct657351000
9255736570
10113103360
1158931257
1231a65400
131a580a86
14110425d6
159de2190
hex6bdd200

113103360 has 120 divisors (see below), whose sum is σ = 391788540. Its totient is φ = 30154752.

The previous prime is 113103359. The next prime is 113103391. The reversal of 113103360 is 63301311.

It can be written as a sum of positive squares in 2 ways, for example, as 104530176 + 8573184 = 10224^2 + 2928^2 .

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20586 + ... + 25494.

Almost surely, 2113103360 is an apocalyptic number.

113103360 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 113103360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195894270).

113103360 is an abundant number, since it is smaller than the sum of its proper divisors (278685180).

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

113103360 is an equidigital number, since it uses as much as digits as its factorization.

113103360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4938 (or 4919 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 113103360 is about 10635.0063469657. The cubic root of 113103360 is about 483.6061728139.

Adding to 113103360 its reverse (63301311), we get a palindrome (176404671).

The spelling of 113103360 in words is "one hundred thirteen million, one hundred three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 4909 5760 7680 9818 11520 14727 19636 23040 24545 29454 39272 44181 49090 58908 73635 78544 88362 98180 117816 147270 157088 176724 196360 220905 235632 294540 314176 353448 392720 441810 471264 589080 628352 706896 785440 883620 942528 1178160 1256704 1413792 1570880 1767240 1885056 2356320 2513408 2827584 3141760 3534480 3770112 4712640 5655168 6283520 7068960 7540224 9425280 11310336 12567040 14137920 18850560 22620672 28275840 37701120 56551680 113103360