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116935800 = 23352792467
BaseRepresentation
bin1101111100001…
…00110001111000
322011000221202120
412332010301320
5214413421200
615334201240
72616636462
oct676046170
9264027676
10116935800
1160009663
12331b3220
131b2c32a7
141175d132
15a3ec9a0
hex6f84c78

116935800 has 96 divisors (see below), whose sum is σ = 367238400. Its totient is φ = 30775680.

The previous prime is 116935787. The next prime is 116935831. The reversal of 116935800 is 8539611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46167 + ... + 48633.

It is an arithmetic number, because the mean of its divisors is an integer number (3825400).

Almost surely, 2116935800 is an apocalyptic number.

116935800 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 116935800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183619200).

116935800 is an abundant number, since it is smaller than the sum of its proper divisors (250302600).

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

116935800 is a wasteful number, since it uses less digits than its factorization.

116935800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2565 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 116935800 is about 10813.6857731303. The cubic root of 116935800 is about 489.0078494564.

The spelling of 116935800 in words is "one hundred sixteen million, nine hundred thirty-five thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 79 100 120 150 158 200 237 300 316 395 474 600 632 790 948 1185 1580 1896 1975 2370 2467 3160 3950 4740 4934 5925 7401 7900 9480 9868 11850 12335 14802 15800 19736 23700 24670 29604 37005 47400 49340 59208 61675 74010 98680 123350 148020 185025 194893 246700 296040 370050 389786 493400 584679 740100 779572 974465 1169358 1480200 1559144 1948930 2338716 2923395 3897860 4677432 4872325 5846790 7795720 9744650 11693580 14616975 19489300 23387160 29233950 38978600 58467900 116935800