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113104320 = 2635716831
BaseRepresentation
bin1101011110111…
…01010111000000
321212211021221220
412233131113000
5212423314240
615120115040
72542241130
oct657352700
9255737856
10113104320
1158931a4a
1231a65a80
131a581344
1411042ac0
159de25d0
hex6bdd5c0

113104320 has 112 divisors (see below), whose sum is σ = 410431488. Its totient is φ = 25850880.

The previous prime is 113104307. The next prime is 113104351. The reversal of 113104320 is 23401311.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113104320.

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, 1696 + ... + 15135.

Almost surely, 2113104320 is an apocalyptic number.

113104320 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 113104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205215744).

113104320 is an abundant number, since it is smaller than the sum of its proper divisors (297327168).

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

113104320 is a wasteful number, since it uses less digits than its factorization.

113104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16858 (or 16848 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 113104320 is about 10635.0514808345. The cubic root of 113104320 is about 483.6075410627.

Adding to 113104320 its reverse (23401311), we get a palindrome (136505631).

The spelling of 113104320 in words is "one hundred thirteen million, one hundred four thousand, three hundred twenty".

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 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 16831 33662 50493 67324 84155 100986 117817 134648 168310 201972 235634 252465 269296 336620 353451 403944 471268 504930 538592 589085 673240 706902 807888 942536 1009860 1077184 1178170 1346480 1413804 1615776 1767255 1885072 2019720 2356340 2692960 2827608 3231552 3534510 3770144 4039440 4712680 5385920 5655216 7069020 7540288 8078880 9425360 11310432 14138040 16157760 18850720 22620864 28276080 37701440 56552160 113104320