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116160030 = 23257473923
BaseRepresentation
bin1101110110001…
…11011000011110
322002120112121100
412323013120132
5214214110110
615305413530
72610225660
oct673073036
9262515540
10116160030
115a629828
1232a9a2a6
131b0b115c
14115da530
15a2e7bc0
hex6ec761e

116160030 has 96 divisors (see below), whose sum is σ = 352594944. Its totient is φ = 25979328.

The previous prime is 116160029. The next prime is 116160067. The reversal of 116160030 is 30061611.

116160030 is a `hidden beast` number, since 1 + 1 + 61 + 600 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 116159985 and 116160012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27649 + ... + 31571.

It is an arithmetic number, because the mean of its divisors is an integer number (3672864).

Almost surely, 2116160030 is an apocalyptic number.

116160030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116160030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176297472).

116160030 is an abundant number, since it is smaller than the sum of its proper divisors (236434914).

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

116160030 is a wasteful number, since it uses less digits than its factorization.

116160030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3990 (or 3987 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 116160030 is about 10777.7562600014. The cubic root of 116160030 is about 487.9240649338.

The spelling of 116160030 in words is "one hundred sixteen million, one hundred sixty thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 47 63 70 90 94 105 126 141 210 235 282 315 329 423 470 630 658 705 846 987 1410 1645 1974 2115 2961 3290 3923 4230 4935 5922 7846 9870 11769 14805 19615 23538 27461 29610 35307 39230 54922 58845 70614 82383 117690 137305 164766 176535 184381 247149 274610 353070 368762 411915 494298 553143 823830 921905 1106286 1235745 1290667 1659429 1843810 2471490 2581334 2765715 3318858 3872001 5531430 6453335 7744002 8297145 11616003 12906670 16594290 19360005 23232006 38720010 58080015 116160030