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113510320 = 24571118427
BaseRepresentation
bin1101100010000…
…00011110110000
321220120220212221
412301000132300
5213024312240
615132530424
72545551610
oct661003660
9256526787
10113510320
1159089a90
1232020a14
131a694091
141110aa40
159e72a4a
hex6c407b0

113510320 has 80 divisors (see below), whose sum is σ = 329050368. Its totient is φ = 35377920.

The previous prime is 113510297. The next prime is 113510393. The reversal of 113510320 is 23015311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 113510294 and 113510303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3054 + ... + 15373.

Almost surely, 2113510320 is an apocalyptic number.

113510320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113510320 is an abundant number, since it is smaller than the sum of its proper divisors (215540048).

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

113510320 is a wasteful number, since it uses less digits than its factorization.

113510320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18458 (or 18452 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 113510320 is about 10654.1222069207. The cubic root of 113510320 is about 484.1855036484.

Adding to 113510320 its reverse (23015311), we get a palindrome (136525631).

The spelling of 113510320 in words is "one hundred thirteen million, five hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 18427 36854 73708 92135 128989 147416 184270 202697 257978 294832 368540 405394 515956 644945 737080 810788 1013485 1031912 1289890 1418879 1474160 1621576 2026970 2063824 2579780 2837758 3243152 4053940 5159560 5675516 7094395 8107880 10319120 11351032 14188790 16215760 22702064 28377580 56755160 113510320