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107889474 = 23721173457
BaseRepresentation
bin1100110111001…
…00001101000010
321112000100112110
412123210031002
5210104430344
614412240150
72450021400
oct633441502
9245010473
10107889474
115599aa60
1230170056
1319476834
1410486470
1597123b9
hex66e4342

107889474 has 96 divisors (see below), whose sum is σ = 278185536. Its totient is φ = 27578880.

The previous prime is 107889473. The next prime is 107889499. The reversal of 107889474 is 474988701.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (107889473) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 235854 + ... + 236310.

It is an arithmetic number, because the mean of its divisors is an integer number (2897766).

Almost surely, 2107889474 is an apocalyptic number.

107889474 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107889474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139092768).

107889474 is an abundant number, since it is smaller than the sum of its proper divisors (170296062).

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

107889474 is a wasteful number, since it uses less digits than its factorization.

107889474 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The square root of 107889474 is about 10386.9857995474. The cubic root of 107889474 is about 476.0578072816.

The spelling of 107889474 in words is "one hundred seven million, eight hundred eighty-nine thousand, four hundred seventy-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 73 77 98 146 147 154 219 231 294 438 457 462 511 539 803 914 1022 1078 1371 1533 1606 1617 2409 2742 3066 3199 3234 3577 4818 5027 5621 6398 7154 9597 10054 10731 11242 15081 16863 19194 21462 22393 30162 33361 33726 35189 39347 44786 66722 67179 70378 78694 100083 105567 118041 134358 200166 211134 233527 236082 246323 366971 467054 492646 700581 733942 738969 1100913 1401162 1477938 1634689 2201826 2568797 3269378 4904067 5137594 7706391 9808134 15412782 17981579 35963158 53944737 107889474