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116061600 = 25352371307
BaseRepresentation
bin1101110101011…
…11010110100000
322002101112120210
412322233112200
5214202432400
615303334120
72606336004
oct672572640
9262345523
10116061600
115a571886
1232a51340
131b078405
14115b2704
15a2c8950
hex6eaf5a0

116061600 has 144 divisors (see below), whose sum is σ = 388287648. Its totient is φ = 30090240.

The previous prime is 116061593. The next prime is 116061623. The reversal of 116061600 is 6160611.

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, 88147 + ... + 89453.

It is an arithmetic number, because the mean of its divisors is an integer number (2696442).

Almost surely, 2116061600 is an apocalyptic number.

116061600 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 116061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194143824).

116061600 is an abundant number, since it is smaller than the sum of its proper divisors (272226048).

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

116061600 is a wasteful number, since it uses less digits than its factorization.

116061600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 116061600 is about 10773.1889429268. The cubic root of 116061600 is about 487.7862093181.

The spelling of 116061600 in words is "one hundred sixteen million, sixty-one thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 37 40 48 50 60 74 75 80 96 100 111 120 148 150 160 185 200 222 240 296 300 370 400 444 480 555 592 600 740 800 888 925 1110 1184 1200 1307 1480 1776 1850 2220 2400 2614 2775 2960 3552 3700 3921 4440 5228 5550 5920 6535 7400 7842 8880 10456 11100 13070 14800 15684 17760 19605 20912 22200 26140 29600 31368 32675 39210 41824 44400 48359 52280 62736 65350 78420 88800 96718 98025 104560 125472 130700 145077 156840 193436 196050 209120 241795 261400 290154 313680 386872 392100 483590 522800 580308 627360 725385 773744 784200 967180 1045600 1160616 1208975 1450770 1547488 1568400 1934360 2321232 2417950 2901540 3136800 3626925 3868720 4642464 4835900 5803080 7253850 7737440 9671800 11606160 14507700 19343600 23212320 29015400 38687200 58030800 116061600