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112670740 = 225713311997
BaseRepresentation
bin1101011011100…
…11100000010100
321212000021012101
412231303200110
5212320430430
615102531444
72535454060
oct655634024
9255007171
10112670740
1158666216
1231896b84
131a45bba0
1410d6caa0
159d58dca
hex6b73814

112670740 has 96 divisors (see below), whose sum is σ = 300754944. Its totient is φ = 34490880.

The previous prime is 112670731. The next prime is 112670777. The reversal of 112670740 is 47076211.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 112670699 and 112670708.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 55422 + ... + 57418.

It is an arithmetic number, because the mean of its divisors is an integer number (3132864).

Almost surely, 2112670740 is an apocalyptic number.

112670740 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 112670740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150377472).

112670740 is an abundant number, since it is smaller than the sum of its proper divisors (188084204).

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

112670740 is a wasteful number, since it uses less digits than its factorization.

112670740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057 (or 2055 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 112670740 is about 10614.6474270227. The cubic root of 112670740 is about 482.9887876094.

The spelling of 112670740 in words is "one hundred twelve million, six hundred seventy thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 31 35 52 62 65 70 91 124 130 140 155 182 217 260 310 364 403 434 455 620 806 868 910 1085 1612 1820 1997 2015 2170 2821 3994 4030 4340 5642 7988 8060 9985 11284 13979 14105 19970 25961 27958 28210 39940 51922 55916 56420 61907 69895 103844 123814 129805 139790 181727 247628 259610 279580 309535 363454 433349 519220 619070 726908 804791 866698 908635 1238140 1609582 1733396 1817270 2166745 3219164 3634540 4023955 4333490 5633537 8047910 8666980 11267074 16095820 22534148 28167685 56335370 112670740