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113261140 = 225174361127
BaseRepresentation
bin1101100000000…
…11101001010100
321220010021002001
412300003221110
5212443324030
615123325044
72543463256
oct660035124
9256107061
10113261140
1158a29853
1231b20784
131a607835
1411083cd6
159e23cca
hex6c03a54

113261140 has 96 divisors (see below), whose sum is σ = 263983104. Its totient is φ = 40642560.

The previous prime is 113261129. The next prime is 113261149. The reversal of 113261140 is 41162311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113261149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 891757 + ... + 891883.

It is an arithmetic number, because the mean of its divisors is an integer number (2749824).

Almost surely, 2113261140 is an apocalyptic number.

113261140 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 113261140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131991552).

113261140 is an abundant number, since it is smaller than the sum of its proper divisors (150721964).

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

113261140 is a wasteful number, since it uses less digits than its factorization.

113261140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 113261140 is about 10642.4217168838. The cubic root of 113261140 is about 483.8309463549.

The spelling of 113261140 in words is "one hundred thirteen million, two hundred sixty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 43 61 68 85 86 122 127 170 172 215 244 254 305 340 430 508 610 635 731 860 1037 1220 1270 1462 2074 2159 2540 2623 2924 3655 4148 4318 5185 5246 5461 7310 7747 8636 10370 10492 10795 10922 13115 14620 15494 20740 21590 21844 26230 27305 30988 38735 43180 44591 52460 54610 77470 89182 92837 109220 131699 154940 178364 185674 222955 263398 333121 371348 445910 464185 526796 658495 666242 891820 928370 1316990 1332484 1665605 1856740 2633980 3331210 5663057 6662420 11326114 22652228 28315285 56630570 113261140