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113750560 = 25572111319
BaseRepresentation
bin1101100011110…
…11001000100000
321221001010102201
412301323020200
5213110004220
615142022544
72550602200
oct661731040
9257033381
10113750560
1159233530
1232117a54
131a749531
1411170400
159ebdd0a
hex6c7b220

113750560 has 144 divisors (see below), whose sum is σ = 341288640. Its totient is φ = 35427840.

The previous prime is 113750551. The next prime is 113750573. The reversal of 113750560 is 65057311.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 85581 + ... + 86899.

It is an arithmetic number, because the mean of its divisors is an integer number (2370060).

Almost surely, 2113750560 is an apocalyptic number.

113750560 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 113750560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170644320).

113750560 is an abundant number, since it is smaller than the sum of its proper divisors (227538080).

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

113750560 is a wasteful number, since it uses less digits than its factorization.

113750560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 28.

The square root of 113750560 is about 10665.3907570234. The cubic root of 113750560 is about 484.5268492900.

The spelling of 113750560 in words is "one hundred thirteen million, seven hundred fifty thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 49 55 56 70 77 80 88 98 110 112 140 154 160 176 196 220 224 245 280 308 352 385 392 440 490 539 560 616 770 784 880 980 1078 1120 1232 1319 1540 1568 1760 1960 2156 2464 2638 2695 3080 3920 4312 5276 5390 6160 6595 7840 8624 9233 10552 10780 12320 13190 14509 17248 18466 21104 21560 26380 29018 36932 42208 43120 46165 52760 58036 64631 72545 73864 86240 92330 101563 105520 116072 129262 145090 147728 184660 203126 211040 232144 258524 290180 295456 323155 369320 406252 464288 507815 517048 580360 646310 710941 738640 812504 1015630 1034096 1160720 1292620 1421882 1477280 1625008 2031260 2068192 2321440 2585240 2843764 3250016 3554705 4062520 5170480 5687528 7109410 8125040 10340960 11375056 14218820 16250080 22750112 28437640 56875280 113750560