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116859700 = 225217531297
BaseRepresentation
bin1101111011100…
…10001100110100
322010220002101001
412331302030310
5214404002300
615332413044
72616201556
oct675621464
9263802331
10116859700
115aa67471
1233177184
131b297769
141173d4d6
15a3d516a
hex6f72334

116859700 has 72 divisors (see below), whose sum is σ = 273779352. Its totient is φ = 43130880.

The previous prime is 116859689. The next prime is 116859703. The reversal of 116859700 is 7958611.

It can be written as a sum of positive squares in 12 ways, for example, as 996004 + 115863696 = 998^2 + 10764^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 116859700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116859703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89452 + ... + 90748.

It is an arithmetic number, because the mean of its divisors is an integer number (3802491).

Almost surely, 2116859700 is an apocalyptic number.

116859700 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 116859700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136889676).

116859700 is an abundant number, since it is smaller than the sum of its proper divisors (156919652).

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

116859700 is a wasteful number, since it uses less digits than its factorization.

116859700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 37.

The square root of 116859700 is about 10810.1665112060. The cubic root of 116859700 is about 488.9017468687.

The spelling of 116859700 in words is "one hundred sixteen million, eight hundred fifty-nine thousand, seven hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 53 68 85 100 106 170 212 265 340 425 530 850 901 1060 1297 1325 1700 1802 2594 2650 3604 4505 5188 5300 6485 9010 12970 18020 22049 22525 25940 32425 44098 45050 64850 68741 88196 90100 110245 129700 137482 220490 274964 343705 440980 551225 687410 1102450 1168597 1374820 1718525 2204900 2337194 3437050 4674388 5842985 6874100 11685970 23371940 29214925 58429850 116859700