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113105640 = 23353892423
BaseRepresentation
bin1101011110111…
…01101011101000
321212211100202210
412233131223220
5212423340030
615120125120
72542245024
oct657355350
9255740683
10113105640
1158932a3a
1231a667a0
131a581b1b
1411043384
159de2bb0
hex6bddae8

113105640 has 64 divisors (see below), whose sum is σ = 340329600. Its totient is φ = 30071552.

The previous prime is 113105617. The next prime is 113105683. The reversal of 113105640 is 46501311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45469 + ... + 47891.

It is an arithmetic number, because the mean of its divisors is an integer number (5317650).

Almost surely, 2113105640 is an apocalyptic number.

113105640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113105640 is an abundant number, since it is smaller than the sum of its proper divisors (227223960).

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

113105640 is a wasteful number, since it uses less digits than its factorization.

113105640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 113105640 is about 10635.1135395914. The cubic root of 113105640 is about 483.6094223922.

Adding to 113105640 its reverse (46501311), we get a palindrome (159606951).

The spelling of 113105640 in words is "one hundred thirteen million, one hundred five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 389 778 1167 1556 1945 2334 2423 3112 3890 4668 4846 5835 7269 7780 9336 9692 11670 12115 14538 15560 19384 23340 24230 29076 36345 46680 48460 58152 72690 96920 145380 290760 942547 1885094 2827641 3770188 4712735 5655282 7540376 9425470 11310564 14138205 18850940 22621128 28276410 37701880 56552820 113105640