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113203824 = 24319247139
BaseRepresentation
bin1101011111101…
…01101001110000
321220000100110020
412233311221300
5212440010244
615122203440
72543134206
oct657655160
9256010406
10113203824
115899a788
1231ab3580
131a5b7716
141106b076
159e11d19
hex6bf5a70

113203824 has 120 divisors (see below), whose sum is σ = 317479680. Its totient is φ = 34736256.

The previous prime is 113203771. The next prime is 113203837. The reversal of 113203824 is 428302311.

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

It is a junction number, because it is equal to n+sod(n) for n = 113203794 and 113203803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 814347 + ... + 814485.

It is an arithmetic number, because the mean of its divisors is an integer number (2645664).

Almost surely, 2113203824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113203824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158739840).

113203824 is an abundant number, since it is smaller than the sum of its proper divisors (204275856).

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

113203824 is a wasteful number, since it uses less digits than its factorization.

113203824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 113203824 is about 10639.7285679664. The cubic root of 113203824 is about 483.7493180822.

The spelling of 113203824 in words is "one hundred thirteen million, two hundred three thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 47 48 57 76 94 114 139 141 152 188 228 278 282 304 361 376 417 456 556 564 722 752 834 893 912 1083 1112 1128 1444 1668 1786 2166 2224 2256 2641 2679 2888 3336 3572 4332 5282 5358 5776 6533 6672 7144 7923 8664 10564 10716 13066 14288 15846 16967 17328 19599 21128 21432 26132 31692 33934 39198 42256 42864 50179 50901 52264 63384 67868 78396 100358 101802 104528 124127 126768 135736 150537 156792 200716 203604 248254 271472 301074 313584 372381 401432 407208 496508 602148 744762 802864 814416 993016 1204296 1489524 1986032 2358413 2408592 2979048 4716826 5958096 7075239 9433652 14150478 18867304 28300956 37734608 56601912 113203824