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112490880 = 2735411429
BaseRepresentation
bin1101011010001…
…11100110000000
321211200010110220
412231013212000
5212244202010
615055023040
72534104515
oct655074600
9254603426
10112490880
1158553077
123180aa80
131a3c8068
1410d2330c
159d20970
hex6b47980

112490880 has 128 divisors (see below), whose sum is σ = 367567200. Its totient is φ = 29245440.

The previous prime is 112490869. The next prime is 112490897. The reversal of 112490880 is 88094211.

It is a tau number, because it is divible by the number of its divisors (128).

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, 78006 + ... + 79434.

Almost surely, 2112490880 is an apocalyptic number.

112490880 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 112490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183783600).

112490880 is an abundant number, since it is smaller than the sum of its proper divisors (255076320).

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

112490880 is a wasteful number, since it uses less digits than its factorization.

112490880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 112490880 is about 10606.1717881618. The cubic root of 112490880 is about 482.7316471159.

The spelling of 112490880 in words is "one hundred twelve million, four hundred ninety thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 128 160 164 192 205 240 246 320 328 384 410 480 492 615 640 656 820 960 984 1230 1312 1429 1640 1920 1968 2460 2624 2858 3280 3936 4287 4920 5248 5716 6560 7145 7872 8574 9840 11432 13120 14290 15744 17148 19680 21435 22864 26240 28580 34296 39360 42870 45728 57160 58589 68592 78720 85740 91456 114320 117178 137184 171480 175767 182912 228640 234356 274368 292945 342960 351534 457280 468712 548736 585890 685920 703068 878835 914560 937424 1171780 1371840 1406136 1757670 1874848 2343560 2743680 2812272 3515340 3749696 4687120 5624544 7030680 7499392 9374240 11249088 14061360 18748480 22498176 28122720 37496960 56245440 112490880