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113181648 = 24317241199
BaseRepresentation
bin1101011111100…
…00001111010000
321212222020000220
412233300033100
5212433303043
615121513040
72543012436
oct657601720
9255866026
10113181648
1158985058
1231aa2780
131a5aa5b8
1411062d56
159e0a483
hex6bf03d0

113181648 has 120 divisors (see below), whose sum is σ = 319771200. Its totient is φ = 34467840.

The previous prime is 113181623. The next prime is 113181661. The reversal of 113181648 is 846181311.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 568653 + ... + 568851.

It is an arithmetic number, because the mean of its divisors is an integer number (2664760).

Almost surely, 2113181648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113181648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159885600).

113181648 is an abundant number, since it is smaller than the sum of its proper divisors (206589552).

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

113181648 is a wasteful number, since it uses less digits than its factorization.

113181648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 262 counting only the distinct ones).

The product of its digits is 4608, while the sum is 33.

The square root of 113181648 is about 10638.6863850759. The cubic root of 113181648 is about 483.7177280850.

The spelling of 113181648 in words is "one hundred thirteen million, one hundred eighty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 41 48 51 68 82 102 123 136 164 199 204 246 272 289 328 398 408 492 578 597 656 697 796 816 867 984 1156 1194 1394 1592 1734 1968 2091 2312 2388 2788 3184 3383 3468 4182 4624 4776 5576 6766 6936 8159 8364 9552 10149 11152 11849 13532 13872 16318 16728 20298 23698 24477 27064 32636 33456 35547 40596 47396 48954 54128 57511 65272 71094 81192 94792 97908 115022 130544 138703 142188 162384 172533 189584 195816 230044 277406 284376 345066 391632 416109 460088 554812 568752 690132 832218 920176 1109624 1380264 1664436 2219248 2357951 2760528 3328872 4715902 6657744 7073853 9431804 14147706 18863608 28295412 37727216 56590824 113181648