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112455840 = 2535733469
BaseRepresentation
bin1101011001111…
…11000010100000
321211121100102010
412230333002200
5212242041330
615054152520
72533600410
oct654770240
9254540363
10112455840
1158529812
12317b2740
131a3b5123
1410d14640
159d153b0
hex6b3f0a0

112455840 has 96 divisors (see below), whose sum is σ = 404853120. Its totient is φ = 25703424.

The previous prime is 112455797. The next prime is 112455857. The reversal of 112455840 is 48554211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 112455798 and 112455807.

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, 13375 + ... + 20094.

It is an arithmetic number, because the mean of its divisors is an integer number (4217220).

Almost surely, 2112455840 is an apocalyptic number.

112455840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112455840 is an abundant number, since it is smaller than the sum of its proper divisors (292397280).

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

112455840 is a wasteful number, since it uses less digits than its factorization.

112455840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33494 (or 33486 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 112455840 is about 10604.5197911079. The cubic root of 112455840 is about 482.6815195752.

The spelling of 112455840 in words is "one hundred twelve million, four hundred fifty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 33469 66938 100407 133876 167345 200814 234283 267752 334690 401628 468566 502035 535504 669380 702849 803256 937132 1004070 1071008 1171415 1338760 1405698 1606512 1874264 2008140 2342830 2677520 2811396 3213024 3514245 3748528 4016280 4685660 5355040 5622792 7028490 7497056 8032560 9371320 11245584 14056980 16065120 18742640 22491168 28113960 37485280 56227920 112455840