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112456470 = 23572113677
BaseRepresentation
bin1101011001111…
…11001100010110
321211121101021110
412230333030112
5212242101340
615054155450
72533602300
oct654771426
9254541243
10112456470
115852a235
12317b2b86
131a3b54b9
1410d14970
159d15680
hex6b3f316

112456470 has 96 divisors (see below), whose sum is σ = 317206368. Its totient is φ = 25439232.

The previous prime is 112456469. The next prime is 112456483. The reversal of 112456470 is 74654211.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165772 + ... + 166448.

It is an arithmetic number, because the mean of its divisors is an integer number (3304233).

Almost surely, 2112456470 is an apocalyptic number.

112456470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112456470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158603184).

112456470 is an abundant number, since it is smaller than the sum of its proper divisors (204749898).

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

112456470 is a wasteful number, since it uses less digits than its factorization.

112456470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 112456470 is about 10604.5494953817. The cubic root of 112456470 is about 482.6824209329.

The spelling of 112456470 in words is "one hundred twelve million, four hundred fifty-six thousand, four hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 113 147 210 226 245 294 339 490 565 677 678 735 791 1130 1354 1470 1582 1695 2031 2373 3385 3390 3955 4062 4739 4746 5537 6770 7910 9478 10155 11074 11865 14217 16611 20310 23695 23730 27685 28434 33173 33222 47390 55370 66346 71085 76501 83055 99519 142170 153002 165865 166110 199038 229503 331730 382505 459006 497595 535507 765010 995190 1071014 1147515 1606521 2295030 2677535 3213042 3748549 5355070 7497098 8032605 11245647 16065210 18742745 22491294 37485490 56228235 112456470