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112914480 = 2435767211
BaseRepresentation
bin1101011101011…
…11000000110000
321212110122112210
412232233000300
5212401230410
615112052120
72540520510
oct656570060
9255418483
10112914480
1158812358
1231994040
131a515b03
1410dd3840
159da6220
hex6baf030

112914480 has 80 divisors (see below), whose sum is σ = 400045824. Its totient is φ = 25808640.

The previous prime is 112914479. The next prime is 112914509. The reversal of 112914480 is 84419211.

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 (30).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 31926 + ... + 35285.

Almost surely, 2112914480 is an apocalyptic number.

112914480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112914480 is an abundant number, since it is smaller than the sum of its proper divisors (287131344).

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

112914480 is a wasteful number, since it uses less digits than its factorization.

112914480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67234 (or 67228 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 112914480 is about 10626.1225289378. The cubic root of 112914480 is about 483.3368191055.

The spelling of 112914480 in words is "one hundred twelve million, nine hundred fourteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 67211 134422 201633 268844 336055 403266 470477 537688 672110 806532 940954 1008165 1075376 1344220 1411431 1613064 1881908 2016330 2352385 2688440 2822862 3226128 3763816 4032660 4704770 5376880 5645724 7057155 7527632 8065320 9409540 11291448 14114310 16130640 18819080 22582896 28228620 37638160 56457240 112914480