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113550040 = 23537731051
BaseRepresentation
bin1101100010010…
…10001011011000
321220122221101001
412301022023120
5213032100130
615133434344
72546105452
oct661121330
9256587331
10113550040
115910690a
123203b9b4
131a6a9196
141111b2d2
159e7e6ca
hex6c4a2d8

113550040 has 64 divisors (see below), whose sum is σ = 266240160. Its totient is φ = 43545600.

The previous prime is 113550029. The next prime is 113550049. The reversal of 113550040 is 40055311.

It is a super-3 number, since 3×1135500403 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113550049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107515 + ... + 108565.

Almost surely, 2113550040 is an apocalyptic number.

113550040 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 113550040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133120080).

113550040 is an abundant number, since it is smaller than the sum of its proper divisors (152690120).

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

113550040 is a wasteful number, since it uses less digits than its factorization.

113550040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 113550040 is about 10655.9861111021. The cubic root of 113550040 is about 484.2419731260.

The spelling of 113550040 in words is "one hundred thirteen million, five hundred fifty thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 73 74 146 148 185 292 296 365 370 584 730 740 1051 1460 1480 2102 2701 2920 4204 5255 5402 8408 10510 10804 13505 21020 21608 27010 38887 42040 54020 76723 77774 108040 153446 155548 194435 306892 311096 383615 388870 613784 767230 777740 1534460 1555480 2838751 3068920 5677502 11355004 14193755 22710008 28387510 56775020 113550040