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116189700 = 2235211137257
BaseRepresentation
bin1101110110011…
…10101000000100
322002122001022020
412323032220010
5214221032300
615310203140
72610411324
oct673165004
9262561266
10116189700
115a64a050
1232ab34b0
131b0c1803
1411607284
15a3018a0
hex6ecea04

116189700 has 144 divisors (see below), whose sum is σ = 370851264. Its totient is φ = 27852800.

The previous prime is 116189699. The next prime is 116189701. The reversal of 116189700 is 7981611.

It is an interprime number because it is at equal distance from previous prime (116189699) and next prime (116189701).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (116189701) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 451972 + ... + 452228.

It is an arithmetic number, because the mean of its divisors is an integer number (2575356).

Almost surely, 2116189700 is an apocalyptic number.

116189700 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 116189700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185425632).

116189700 is an abundant number, since it is smaller than the sum of its proper divisors (254661564).

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

116189700 is a wasteful number, since it uses less digits than its factorization.

116189700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 33.

The square root of 116189700 is about 10779.1326181655. The cubic root of 116189700 is about 487.9656038195.

The spelling of 116189700 in words is "one hundred sixteen million, one hundred eighty-nine thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 137 150 165 220 257 274 275 300 330 411 514 548 550 660 685 771 822 825 1028 1100 1285 1370 1507 1542 1644 1650 2055 2570 2740 2827 3014 3084 3300 3425 3855 4110 4521 5140 5654 6028 6425 6850 7535 7710 8220 8481 9042 10275 11308 12850 13700 14135 15070 15420 16962 18084 19275 20550 22605 25700 28270 30140 33924 35209 37675 38550 41100 42405 45210 56540 70418 70675 75350 77100 84810 90420 105627 113025 140836 141350 150700 169620 176045 211254 212025 226050 282700 352090 387299 422508 424050 452100 528135 704180 774598 848100 880225 1056270 1161897 1549196 1760450 1936495 2112540 2323794 2640675 3520900 3872990 4647588 5281350 5809485 7745980 9682475 10562700 11618970 19364950 23237940 29047425 38729900 58094850 116189700