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112858140 = 223529371753
BaseRepresentation
bin1101011101000…
…01010000011100
321212100210021010
412232201100130
5212342430030
615110535220
72540164323
oct656412034
9255323233
10112858140
1158783a9a
1231967510
131a4c6285
1410dbb0ba
159d946b0
hex6ba141c

112858140 has 96 divisors (see below), whose sum is σ = 335926080. Its totient is φ = 28256256.

The previous prime is 112858129. The next prime is 112858181. The reversal of 112858140 is 41858211.

It is a happy number.

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 = 112858098 and 112858107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63504 + ... + 65256.

It is an arithmetic number, because the mean of its divisors is an integer number (3499230).

Almost surely, 2112858140 is an apocalyptic number.

112858140 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 112858140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167963040).

112858140 is an abundant number, since it is smaller than the sum of its proper divisors (223067940).

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

112858140 is a wasteful number, since it uses less digits than its factorization.

112858140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1831 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 112858140 is about 10623.4711841281. The cubic root of 112858140 is about 483.2564168791.

The spelling of 112858140 in words is "one hundred twelve million, eight hundred fifty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 37 58 60 74 87 111 116 145 148 174 185 222 290 348 370 435 444 555 580 740 870 1073 1110 1740 1753 2146 2220 3219 3506 4292 5259 5365 6438 7012 8765 10518 10730 12876 16095 17530 21036 21460 26295 32190 35060 50837 52590 64380 64861 101674 105180 129722 152511 194583 203348 254185 259444 305022 324305 389166 508370 610044 648610 762555 778332 972915 1016740 1297220 1525110 1880969 1945830 3050220 3761938 3891660 5642907 7523876 9404845 11285814 18809690 22571628 28214535 37619380 56429070 112858140