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116379200 = 2652710391
BaseRepresentation
bin1101110111111…
…00111001000000
322002222200020202
412323330321000
5214243113300
615314224332
72612130650
oct673747100
9262880222
10116379200
115a769463
1232b850a8
131b159b42
1411656360
15a33cad5
hex6efce40

116379200 has 84 divisors (see below), whose sum is σ = 327306432. Its totient is φ = 39897600.

The previous prime is 116379167. The next prime is 116379209. The reversal of 116379200 is 2973611.

It is not an unprimeable number, because it can be changed into a prime (116379209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6005 + ... + 16395.

Almost surely, 2116379200 is an apocalyptic number.

116379200 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 116379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163653216).

116379200 is an abundant number, since it is smaller than the sum of its proper divisors (210927232).

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

116379200 is a wasteful number, since it uses less digits than its factorization.

116379200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10420 (or 10405 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 116379200 is about 10787.9191691447. The cubic root of 116379200 is about 488.2307428014.

The spelling of 116379200 in words is "one hundred sixteen million, three hundred seventy-nine thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 140 160 175 200 224 280 320 350 400 448 560 700 800 1120 1400 1600 2240 2800 5600 10391 11200 20782 41564 51955 72737 83128 103910 145474 166256 207820 259775 290948 332512 363685 415640 519550 581896 665024 727370 831280 1039100 1163792 1454740 1662560 1818425 2078200 2327584 2909480 3325120 3636850 4156400 4655168 5818960 7273700 8312800 11637920 14547400 16625600 23275840 29094800 58189600 116379200