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112967790 = 23513476163
BaseRepresentation
bin1101011101111…
…00000001101110
321212120100200020
412232330001232
5212404432130
615113143010
72541132105
oct656740156
9255510606
10112967790
1158849411
12319baa66
131a534160
141100903c
159db6e10
hex6bbc06e

112967790 has 64 divisors (see below), whose sum is σ = 298238976. Its totient is φ = 27211392.

The previous prime is 112967783. The next prime is 112967797. The reversal of 112967790 is 97769211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112967783) and next prime (112967797).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112967797) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15249 + ... + 21411.

It is an arithmetic number, because the mean of its divisors is an integer number (4659984).

Almost surely, 2112967790 is an apocalyptic number.

112967790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112967790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149119488).

112967790 is an abundant number, since it is smaller than the sum of its proper divisors (185271186).

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

112967790 is a wasteful number, since it uses less digits than its factorization.

112967790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6233.

The product of its (nonzero) digits is 47628, while the sum is 42.

The square root of 112967790 is about 10628.6306737980. The cubic root of 112967790 is about 483.4128726280.

The spelling of 112967790 in words is "one hundred twelve million, nine hundred sixty-seven thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 47 65 78 94 130 141 195 235 282 390 470 611 705 1222 1410 1833 3055 3666 6110 6163 9165 12326 18330 18489 30815 36978 61630 80119 92445 160238 184890 240357 289661 400595 480714 579322 801190 868983 1201785 1448305 1737966 2403570 2896610 3765593 4344915 7531186 8689830 11296779 18827965 22593558 37655930 56483895 112967790