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116747160 = 233517151379
BaseRepresentation
bin1101111010101…
…10101110011000
322010200100222220
412331112232120
5214341402120
615330144040
72615222505
oct675265630
9263610886
10116747160
115a99a962
1233122020
131b25847a
14117104ac
15a3b1b40
hex6f56b98

116747160 has 128 divisors (see below), whose sum is σ = 374284800. Its totient is φ = 29030400.

The previous prime is 116747129. The next prime is 116747161. The reversal of 116747160 is 61747611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116747161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307851 + ... + 308229.

It is an arithmetic number, because the mean of its divisors is an integer number (2924100).

Almost surely, 2116747160 is an apocalyptic number.

116747160 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 116747160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187142400).

116747160 is an abundant number, since it is smaller than the sum of its proper divisors (257537640).

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

116747160 is a wasteful number, since it uses less digits than its factorization.

116747160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 116747160 is about 10804.9599721609. The cubic root of 116747160 is about 488.7447532703.

The spelling of 116747160 in words is "one hundred sixteen million, seven hundred forty-seven thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 151 170 204 255 302 340 379 408 453 510 604 680 755 758 906 1020 1137 1208 1510 1516 1812 1895 2040 2265 2274 2567 3020 3032 3624 3790 4530 4548 5134 5685 6040 6443 7580 7701 9060 9096 10268 11370 12835 12886 15160 15402 18120 19329 20536 22740 25670 25772 30804 32215 38505 38658 45480 51340 51544 57229 61608 64430 77010 77316 96645 102680 114458 128860 154020 154632 171687 193290 228916 257720 286145 308040 343374 386580 457832 572290 686748 773160 858435 972893 1144580 1373496 1716870 1945786 2289160 2918679 3433740 3891572 4864465 5837358 6867480 7783144 9728930 11674716 14593395 19457860 23349432 29186790 38915720 58373580 116747160