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116606160 = 243251114723
BaseRepresentation
bin1101111001101…
…00010011010000
322010102012120200
412330310103100
5214322344120
615323135200
72614064436
oct674642320
9263365520
10116606160
115a903a30
1233074500
131b209238
14116b4d56
15a384e90
hex6f344d0

116606160 has 120 divisors (see below), whose sum is σ = 427231584. Its totient is φ = 28266240.

The previous prime is 116606143. The next prime is 116606177. The reversal of 116606160 is 61606611.

It is an interprime number because it is at equal distance from previous prime (116606143) and next prime (116606177).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 559 + ... + 15281.

Almost surely, 2116606160 is an apocalyptic number.

116606160 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 116606160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213615792).

116606160 is an abundant number, since it is smaller than the sum of its proper divisors (310625424).

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

116606160 is a wasteful number, since it uses less digits than its factorization.

116606160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14753 (or 14744 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 116606160 is about 10798.4332196852. The cubic root of 116606160 is about 488.5479154435.

The spelling of 116606160 in words is "one hundred sixteen million, six hundred six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 14723 29446 44169 58892 73615 88338 117784 132507 147230 161953 176676 220845 235568 265014 294460 323906 353352 441690 485859 530028 588920 647812 662535 706704 809765 883380 971718 1060056 1177840 1295624 1325070 1457577 1619530 1766760 1943436 2120112 2429295 2591248 2650140 2915154 3239060 3533520 3886872 4858590 5300280 5830308 6478120 7287885 7773744 9717180 10600560 11660616 12956240 14575770 19434360 23321232 29151540 38868720 58303080 116606160