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112923640 = 235592811
BaseRepresentation
bin1101011101100…
…01001111111000
321212111010010001
412232301033320
5212402024030
615112202344
72540556304
oct656611770
9255433101
10112923640
1158819225
12319993b4
131a51a02b
1410dd6d04
159da8cca
hex6bb13f8

112923640 has 48 divisors (see below), whose sum is σ = 258776280. Its totient is φ = 44349120.

The previous prime is 112923637. The next prime is 112923653. The reversal of 112923640 is 46329211.

It is a junction number, because it is equal to n+sod(n) for n = 112923599 and 112923608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138835 + ... + 139645.

Almost surely, 2112923640 is an apocalyptic number.

112923640 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 112923640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129388140).

112923640 is an abundant number, since it is smaller than the sum of its proper divisors (145852640).

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

112923640 is an equidigital number, since it uses as much as digits as its factorization.

112923640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 112923640 is about 10626.5535334839. The cubic root of 112923640 is about 483.3498887182.

The spelling of 112923640 in words is "one hundred twelve million, nine hundred twenty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 472 590 811 1180 1622 2360 3244 3481 4055 6488 6962 8110 13924 16220 17405 27848 32440 34810 47849 69620 95698 139240 191396 239245 382792 478490 956980 1913960 2823091 5646182 11292364 14115455 22584728 28230910 56461820 112923640