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113350080 = 2635711663
BaseRepresentation
bin1101100000110…
…01010111000000
321220021210002010
412300121113000
5213004200310
615125252520
72544313464
oct660312700
9256253063
10113350080
1158a8a658
1231b64140
131a63916c
14110a84a4
159e40320
hex6c195c0

113350080 has 112 divisors (see below), whose sum is σ = 365174784. Its totient is φ = 29783040.

The previous prime is 113350079. The next prime is 113350087. The reversal of 113350080 is 80053311.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113350087) 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, 67329 + ... + 68991.

Almost surely, 2113350080 is an apocalyptic number.

113350080 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 113350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182587392).

113350080 is an abundant number, since it is smaller than the sum of its proper divisors (251824704).

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

113350080 is a wasteful number, since it uses less digits than its factorization.

113350080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 113350080 is about 10646.5994571037. The cubic root of 113350080 is about 483.9575583757.

The spelling of 113350080 in words is "one hundred thirteen million, three hundred fifty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 71 80 96 120 142 160 192 213 240 284 320 355 426 480 568 710 852 960 1065 1136 1420 1663 1704 2130 2272 2840 3326 3408 4260 4544 4989 5680 6652 6816 8315 8520 9978 11360 13304 13632 16630 17040 19956 22720 24945 26608 33260 34080 39912 49890 53216 66520 68160 79824 99780 106432 118073 133040 159648 199560 236146 266080 319296 354219 399120 472292 532160 590365 708438 798240 944584 1180730 1416876 1596480 1771095 1889168 2361460 2833752 3542190 3778336 4722920 5667504 7084380 7556672 9445840 11335008 14168760 18891680 22670016 28337520 37783360 56675040 113350080