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112052720 = 24513163661
BaseRepresentation
bin1101010110111…
…00100111110000
321210211212102202
412223130213300
5212141141340
615041402332
72530301213
oct653344760
9253755382
10112052720
115828395a
12316393a8
131a2a37b0
1410c4b77a
159c85c15
hex6adc9f0

112052720 has 80 divisors (see below), whose sum is σ = 282711072. Its totient is φ = 41057280.

The previous prime is 112052719. The next prime is 112052749. The reversal of 112052720 is 27250211.

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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 112052692 and 112052701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169190 + ... + 169850.

Almost surely, 2112052720 is an apocalyptic number.

112052720 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 112052720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141355536).

112052720 is an abundant number, since it is smaller than the sum of its proper divisors (170658352).

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

112052720 is a wasteful number, since it uses less digits than its factorization.

112052720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 112052720 is about 10585.4957370923. The cubic root of 112052720 is about 482.1040735307.

The spelling of 112052720 in words is "one hundred twelve million, fifty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 163 208 260 326 520 652 661 815 1040 1304 1322 1630 2119 2608 2644 3260 3305 4238 5288 6520 6610 8476 8593 10576 10595 13040 13220 16952 17186 21190 26440 33904 34372 42380 42965 52880 68744 84760 85930 107743 137488 169520 171860 215486 343720 430972 538715 687440 861944 1077430 1400659 1723888 2154860 2801318 4309720 5602636 7003295 8619440 11205272 14006590 22410544 28013180 56026360 112052720