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113033440 = 25513311753
BaseRepresentation
bin1101011110011…
…00000011100000
321212200200201201
412233030003200
5212414032230
615114410544
72541524362
oct657140340
9255620651
10113033440
1158893773
1231a30a54
131a557cc0
1411024d32
159dcb5ca
hex6bcc0e0

113033440 has 96 divisors (see below), whose sum is σ = 297029376. Its totient is φ = 40366080.

The previous prime is 113033423. The next prime is 113033441. The reversal of 113033440 is 44330311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113033441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63604 + ... + 65356.

It is an arithmetic number, because the mean of its divisors is an integer number (3094056).

Almost surely, 2113033440 is an apocalyptic number.

113033440 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 113033440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148514688).

113033440 is an abundant number, since it is smaller than the sum of its proper divisors (183995936).

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

113033440 is a wasteful number, since it uses less digits than its factorization.

113033440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 113033440 is about 10631.7185816781. The cubic root of 113033440 is about 483.5064978681.

Adding to 113033440 its reverse (44330311), we get a palindrome (157363751).

The spelling of 113033440 in words is "one hundred thirteen million, thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 32 40 52 62 65 80 104 124 130 155 160 208 248 260 310 403 416 496 520 620 806 992 1040 1240 1612 1753 2015 2080 2480 3224 3506 4030 4960 6448 7012 8060 8765 12896 14024 16120 17530 22789 28048 32240 35060 45578 54343 56096 64480 70120 91156 108686 113945 140240 182312 217372 227890 271715 280480 364624 434744 455780 543430 706459 729248 869488 911560 1086860 1412918 1738976 1823120 2173720 2825836 3532295 3646240 4347440 5651672 7064590 8694880 11303344 14129180 22606688 28258360 56516720 113033440