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113035340 = 225112389251
BaseRepresentation
bin1101011110011…
…00100001001100
321212200210100002
412233030201030
5212414112330
615114423432
72541533045
oct657144114
9255623302
10113035340
1158895140
1231a31b78
131a558b22
14110258cc
159dcbe45
hex6bcc84c

113035340 has 96 divisors (see below), whose sum is σ = 274337280. Its totient is φ = 38720000.

The previous prime is 113035339. The next prime is 113035343. The reversal of 113035340 is 43530311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (113035343) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 450215 + ... + 450465.

It is an arithmetic number, because the mean of its divisors is an integer number (2857680).

Almost surely, 2113035340 is an apocalyptic number.

113035340 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 113035340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137168640).

113035340 is an abundant number, since it is smaller than the sum of its proper divisors (161301940).

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

113035340 is a wasteful number, since it uses less digits than its factorization.

113035340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 113035340 is about 10631.8079365647. The cubic root of 113035340 is about 483.5092069697.

Adding to 113035340 its reverse (43530311), we get a palindrome (156565651).

The spelling of 113035340 in words is "one hundred thirteen million, thirty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 89 92 110 115 178 220 230 251 253 356 445 460 502 506 890 979 1004 1012 1255 1265 1780 1958 2047 2510 2530 2761 3916 4094 4895 5020 5060 5522 5773 8188 9790 10235 11044 11546 13805 19580 20470 22339 22517 23092 27610 28865 40940 44678 45034 55220 57730 63503 89356 90068 111695 112585 115460 127006 223390 225170 245729 254012 317515 446780 450340 491458 513797 635030 982916 1027594 1228645 1270060 2055188 2457290 2568985 4914580 5137970 5651767 10275940 11303534 22607068 28258835 56517670 113035340