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112683220 = 225134310079
BaseRepresentation
bin1101011011101…
…10100011010100
321212000220022121
412231312203110
5212321330340
615103105324
72535535336
oct655664324
9255026277
10112683220
1158674631
12318a2244
131a464780
1410d73456
159d5c94a
hex6b768d4

112683220 has 48 divisors (see below), whose sum is σ = 260789760. Its totient is φ = 40634496.

The previous prime is 112683173. The next prime is 112683223. The reversal of 112683220 is 22386211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112683223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6141 + ... + 16219.

It is an arithmetic number, because the mean of its divisors is an integer number (5433120).

Almost surely, 2112683220 is an apocalyptic number.

112683220 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 112683220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130394880).

112683220 is an abundant number, since it is smaller than the sum of its proper divisors (148106540).

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

112683220 is a wasteful number, since it uses less digits than its factorization.

112683220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10144 (or 10142 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 112683220 is about 10615.2352776564. The cubic root of 112683220 is about 483.0066197385.

The spelling of 112683220 in words is "one hundred twelve million, six hundred eighty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 130 172 215 260 430 559 860 1118 2236 2795 5590 10079 11180 20158 40316 50395 100790 131027 201580 262054 433397 524108 655135 866794 1310270 1733588 2166985 2620540 4333970 5634161 8667940 11268322 22536644 28170805 56341610 112683220