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112919430 = 235131392083
BaseRepresentation
bin1101011101100…
…00001110000110
321212110220100010
412232300032012
5212401410210
615112131050
72540541111
oct656601606
9255426303
10112919430
1158816048
1231996a86
131a518140
1410dd5578
159da7920
hex6bb0386

112919430 has 64 divisors (see below), whose sum is σ = 294094080. Its totient is φ = 27582336.

The previous prime is 112919399. The next prime is 112919437. The reversal of 112919430 is 34919211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112919437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53169 + ... + 55251.

It is an arithmetic number, because the mean of its divisors is an integer number (4595220).

Almost surely, 2112919430 is an apocalyptic number.

112919430 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 112919430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147047040).

112919430 is an abundant number, since it is smaller than the sum of its proper divisors (181174650).

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

112919430 is a wasteful number, since it uses less digits than its factorization.

112919430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2245.

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 112919430 is about 10626.3554429541. The cubic root of 112919430 is about 483.3438819207.

The spelling of 112919430 in words is "one hundred twelve million, nine hundred nineteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 139 195 278 390 417 695 834 1390 1807 2083 2085 3614 4166 4170 5421 6249 9035 10415 10842 12498 18070 20830 27079 27105 31245 54158 54210 62490 81237 135395 162474 270790 289537 406185 579074 812370 868611 1447685 1737222 2895370 3763981 4343055 7527962 8686110 11291943 18819905 22583886 37639810 56459715 112919430