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116600800 = 2552236337
BaseRepresentation
bin1101111001100…
…10111111100000
322010101221020011
412330302333200
5214322211200
615323054304
72614043011
oct674627740
9263357204
10116600800
115a8aa9a8
1233071394
131b206974
14116b3008
15a3835ba
hex6f32fe0

116600800 has 72 divisors (see below), whose sum is σ = 297074736. Its totient is φ = 44605440.

The previous prime is 116600797. The next prime is 116600819. The reversal of 116600800 is 8006611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15232 + ... + 21568.

It is an arithmetic number, because the mean of its divisors is an integer number (4126038).

Almost surely, 2116600800 is an apocalyptic number.

116600800 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 116600800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148537368).

116600800 is an abundant number, since it is smaller than the sum of its proper divisors (180473936).

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

116600800 is a wasteful number, since it uses less digits than its factorization.

116600800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6380 (or 6367 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 116600800 is about 10798.1850326803. The cubic root of 116600800 is about 488.5404296842.

The spelling of 116600800 in words is "one hundred sixteen million, six hundred thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 160 184 200 230 368 400 460 575 736 800 920 1150 1840 2300 3680 4600 6337 9200 12674 18400 25348 31685 50696 63370 101392 126740 145751 158425 202784 253480 291502 316850 506960 583004 633700 728755 1013920 1166008 1267400 1457510 2332016 2534800 2915020 3643775 4664032 5069600 5830040 7287550 11660080 14575100 23320160 29150200 58300400 116600800