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113640560 = 24511296173
BaseRepresentation
bin1101100011000…
…00010001110000
321220211112112122
412301200101300
5213042444220
615135413412
72546633405
oct661402160
9256745478
10113640560
1159168920
1232084268
131a70b447
14111422ac
159e9b425
hex6c60470

113640560 has 160 divisors (see below), whose sum is σ = 307212480. Its totient is φ = 38707200.

The previous prime is 113640559. The next prime is 113640587. The reversal of 113640560 is 65046311.

It is a super-2 number, since 2×1136405602 = 25828353754227200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1556684 + ... + 1556756.

It is an arithmetic number, because the mean of its divisors is an integer number (1920078).

Almost surely, 2113640560 is an apocalyptic number.

113640560 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 113640560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153606240).

113640560 is an abundant number, since it is smaller than the sum of its proper divisors (193571920).

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

113640560 is a wasteful number, since it uses less digits than its factorization.

113640560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 113640560 is about 10660.2326428648. The cubic root of 113640560 is about 484.3706152083.

Adding to 113640560 its reverse (65046311), we get a palindrome (178686871).

The spelling of 113640560 in words is "one hundred thirteen million, six hundred forty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 61 73 80 88 110 116 122 145 146 176 220 232 244 290 292 305 319 365 440 464 488 580 584 610 638 671 730 803 880 976 1160 1168 1220 1276 1342 1460 1595 1606 1769 2117 2320 2440 2552 2684 2920 3190 3212 3355 3538 4015 4234 4453 4880 5104 5368 5840 6380 6424 6710 7076 8030 8468 8845 8906 10585 10736 12760 12848 13420 14152 16060 16936 17690 17812 19459 21170 22265 23287 25520 26840 28304 32120 33872 35380 35624 38918 42340 44530 46574 48983 53680 64240 70760 71248 77836 84680 89060 93148 97295 97966 116435 129137 141520 155672 169360 178120 186296 194590 195932 232870 244915 258274 311344 356240 372592 389180 391864 465740 489830 516548 645685 778360 783728 931480 979660 1033096 1291370 1420507 1556720 1862960 1959320 2066192 2582740 2841014 3918640 5165480 5682028 7102535 10330960 11364056 14205070 22728112 28410140 56820280 113640560