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112970780 = 225131761419
BaseRepresentation
bin1101011101111…
…00110000011100
321212120111202222
412232330300130
5212410031110
615113204512
72541143606
oct656746034
9255514688
10112970780
115885068a
1231a00738
131a535620
141100a176
159db7c55
hex6bbcc1c

112970780 has 96 divisors (see below), whose sum is σ = 275607360. Its totient is φ = 38522880.

The previous prime is 112970771. The next prime is 112970783. The reversal of 112970780 is 87079211.

It is a super-3 number, since 3×1129707803 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112970780.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112970783) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269411 + ... + 269829.

It is an arithmetic number, because the mean of its divisors is an integer number (2870910).

Almost surely, 2112970780 is an apocalyptic number.

112970780 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 112970780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137803680).

112970780 is an abundant number, since it is smaller than the sum of its proper divisors (162636580).

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

112970780 is a wasteful number, since it uses less digits than its factorization.

112970780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 35.

The square root of 112970780 is about 10628.7713306854. The cubic root of 112970780 is about 483.4171375362.

The spelling of 112970780 in words is "one hundred twelve million, nine hundred seventy thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 61 65 68 85 122 130 170 221 244 260 305 340 419 442 610 793 838 884 1037 1105 1220 1586 1676 2074 2095 2210 3172 3965 4148 4190 4420 5185 5447 7123 7930 8380 10370 10894 13481 14246 15860 20740 21788 25559 26962 27235 28492 35615 51118 53924 54470 67405 71230 92599 102236 108940 127795 134810 142460 185198 255590 269620 332267 370396 434503 462995 511180 664534 869006 925990 1329068 1661335 1738012 1851980 2172515 3322670 4345030 5648539 6645340 8690060 11297078 22594156 28242695 56485390 112970780