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116535040 = 285181503
BaseRepresentation
bin1101111001000…
…10111100000000
322010021121000121
412330202330000
5214313110130
615321430024
72613350206
oct674427400
9263247017
10116535040
115a865556
123303b314
131b1b2a5b
1411697076
15a36dd7a
hex6f22f00

116535040 has 72 divisors (see below), whose sum is σ = 281238048. Its totient is φ = 46264320.

The previous prime is 116535007. The next prime is 116535047. The reversal of 116535040 is 40535611.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 116534996 and 116535014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116535047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231429 + ... + 231931.

It is an arithmetic number, because the mean of its divisors is an integer number (3906084).

Almost surely, 2116535040 is an apocalyptic number.

116535040 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 116535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140619024).

116535040 is an abundant number, since it is smaller than the sum of its proper divisors (164703008).

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

116535040 is an equidigital number, since it uses as much as digits as its factorization.

116535040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 116535040 is about 10795.1396470819. The cubic root of 116535040 is about 488.4485707945.

The spelling of 116535040 in words is "one hundred sixteen million, five hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 181 256 320 362 503 640 724 905 1006 1280 1448 1810 2012 2515 2896 3620 4024 5030 5792 7240 8048 10060 11584 14480 16096 20120 23168 28960 32192 40240 46336 57920 64384 80480 91043 115840 128768 160960 182086 231680 321920 364172 455215 643840 728344 910430 1456688 1820860 2913376 3641720 5826752 7283440 11653504 14566880 23307008 29133760 58267520 116535040