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113563080 = 23335711481
BaseRepresentation
bin1101100010011…
…01010111001000
321220200121021000
412301031113020
5213033004310
615134015000
72546161461
oct661152710
9256617230
10113563080
1159115694
1232047460
131a6b20b7
1411121d68
159e834c0
hex6c4d5c8

113563080 has 128 divisors (see below), whose sum is σ = 384134400. Its totient is φ = 29836800.

The previous prime is 113563069. The next prime is 113563081. The reversal of 113563080 is 80365311.

113563080 is a `hidden beast` number, since 1 + 1 + 356 + 308 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (113563081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75940 + ... + 77420.

It is an arithmetic number, because the mean of its divisors is an integer number (3001050).

Almost surely, 2113563080 is an apocalyptic number.

113563080 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 113563080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192067200).

113563080 is an abundant number, since it is smaller than the sum of its proper divisors (270571320).

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

113563080 is a wasteful number, since it uses less digits than its factorization.

113563080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 113563080 is about 10656.5979561960. The cubic root of 113563080 is about 484.2605090761.

The spelling of 113563080 in words is "one hundred thirteen million, five hundred sixty-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 71 72 90 108 120 135 142 180 213 216 270 284 355 360 426 540 568 639 710 852 1065 1080 1278 1420 1481 1704 1917 2130 2556 2840 2962 3195 3834 4260 4443 5112 5924 6390 7405 7668 8520 8886 9585 11848 12780 13329 14810 15336 17772 19170 22215 25560 26658 29620 35544 38340 39987 44430 53316 59240 66645 76680 79974 88860 105151 106632 133290 159948 177720 199935 210302 266580 315453 319896 399870 420604 525755 533160 630906 799740 841208 946359 1051510 1261812 1577265 1599480 1892718 2103020 2523624 2839077 3154530 3785436 4206040 4731795 5678154 6309060 7570872 9463590 11356308 12618120 14195385 18927180 22712616 28390770 37854360 56781540 113563080