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113470080 = 2735113523
BaseRepresentation
bin1101100001101…
…10101010000000
321220111212200120
412300312222000
5213022020310
615132020240
72545323363
oct660665200
9256455616
10113470080
1159061829
1232001680
131a67b979
14110da0da
159e65b70
hex6c36a80

113470080 has 128 divisors (see below), whose sum is σ = 365584320. Its totient is φ = 29933568.

The previous prime is 113470073. The next prime is 113470081. The reversal of 113470080 is 80074311.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 113470080.

It is not an unprimeable number, because it can be changed into a prime (113470081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216699 + ... + 217221.

Almost surely, 2113470080 is an apocalyptic number.

113470080 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 113470080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182792160).

113470080 is an abundant number, since it is smaller than the sum of its proper divisors (252114240).

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

113470080 is a wasteful number, since it uses less digits than its factorization.

113470080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 113470080 is about 10652.2335685996. The cubic root of 113470080 is about 484.1282814579.

The spelling of 113470080 in words is "one hundred thirteen million, four hundred seventy thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 113 120 128 160 192 226 240 320 339 384 452 480 523 565 640 678 904 960 1046 1130 1356 1569 1695 1808 1920 2092 2260 2615 2712 3138 3390 3616 4184 4520 5230 5424 6276 6780 7232 7845 8368 9040 10460 10848 12552 13560 14464 15690 16736 18080 20920 21696 25104 27120 31380 33472 36160 41840 43392 50208 54240 59099 62760 66944 72320 83680 100416 108480 118198 125520 167360 177297 200832 216960 236396 251040 295495 334720 354594 472792 502080 590990 709188 886485 945584 1004160 1181980 1418376 1772970 1891168 2363960 2836752 3545940 3782336 4727920 5673504 7091880 7564672 9455840 11347008 14183760 18911680 22694016 28367520 37823360 56735040 113470080