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113757030 = 232517149499
BaseRepresentation
bin1101100011111…
…00101101100110
321221001110022100
412301330231212
5213110211110
615142112530
72550630102
oct661745546
9257043270
10113757030
1159238382
123211b746
131a74c46a
1411172902
159ec0bc0
hex6c7cb66

113757030 has 96 divisors (see below), whose sum is σ = 315900000. Its totient is φ = 28302336.

The previous prime is 113757029. The next prime is 113757043. The reversal of 113757030 is 30757311.

It is a junction number, because it is equal to n+sod(n) for n = 113756985 and 113757003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227721 + ... + 228219.

It is an arithmetic number, because the mean of its divisors is an integer number (3290625).

Almost surely, 2113757030 is an apocalyptic number.

113757030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113757030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157950000).

113757030 is an abundant number, since it is smaller than the sum of its proper divisors (202142970).

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

113757030 is a wasteful number, since it uses less digits than its factorization.

113757030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 27.

The square root of 113757030 is about 10665.6940702422. The cubic root of 113757030 is about 484.5360355577.

The spelling of 113757030 in words is "one hundred thirteen million, seven hundred fifty-seven thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 149 153 170 255 298 306 447 499 510 745 765 894 998 1341 1490 1497 1530 2235 2495 2533 2682 2994 4470 4491 4990 5066 6705 7485 7599 8483 8982 12665 13410 14970 15198 16966 22455 22797 25330 25449 37995 42415 44910 45594 50898 74351 75990 76347 84830 113985 127245 148702 152694 223053 227970 254490 371755 381735 446106 669159 743510 763470 1115265 1263967 1338318 2230530 2527934 3345795 3791901 6319835 6691590 7583802 11375703 12639670 18959505 22751406 37919010 56878515 113757030