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112536480 = 2535733493
BaseRepresentation
bin1101011010100…
…10101110100000
321211202110000210
412231102232200
5212302131410
615100014120
72534354460
oct655225640
9254673023
10112536480
1158584361
1231831340
131a412a44
1410d35ba0
159d2e220
hex6b52ba0

112536480 has 96 divisors (see below), whose sum is σ = 405143424. Its totient is φ = 25721856.

The previous prime is 112536469. The next prime is 112536497. The reversal of 112536480 is 84635211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 13387 + ... + 20106.

It is an arithmetic number, because the mean of its divisors is an integer number (4220244).

Almost surely, 2112536480 is an apocalyptic number.

112536480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112536480 is an abundant number, since it is smaller than the sum of its proper divisors (292606944).

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

112536480 is a wasteful number, since it uses less digits than its factorization.

112536480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33518 (or 33510 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 112536480 is about 10608.3212621036. The cubic root of 112536480 is about 482.7968660012.

The spelling of 112536480 in words is "one hundred twelve million, five hundred thirty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 33493 66986 100479 133972 167465 200958 234451 267944 334930 401916 468902 502395 535888 669860 703353 803832 937804 1004790 1071776 1172255 1339720 1406706 1607664 1875608 2009580 2344510 2679440 2813412 3215328 3516765 3751216 4019160 4689020 5358880 5626824 7033530 7502432 8038320 9378040 11253648 14067060 16076640 18756080 22507296 28134120 37512160 56268240 112536480