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116739090 = 23351379421
BaseRepresentation
bin1101111010101…
…00110000010010
322010122221221000
412331110300102
5214341122330
615330042430
72615160126
oct675246022
9263587830
10116739090
115a994896
1233119416
131b2548b0
141170b586
15a3ae560
hex6f54c12

116739090 has 128 divisors (see below), whose sum is σ = 340300800. Its totient is φ = 28304640.

The previous prime is 116739071. The next prime is 116739101. The reversal of 116739090 is 90937611.

116739090 = 3222 + 3232 + ... + 7262.

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 63 ways as a sum of consecutive naturals, for example, 277080 + ... + 277500.

It is an arithmetic number, because the mean of its divisors is an integer number (2658600).

Almost surely, 2116739090 is an apocalyptic number.

116739090 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 116739090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170150400).

116739090 is an abundant number, since it is smaller than the sum of its proper divisors (223561710).

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

116739090 is a wasteful number, since it uses less digits than its factorization.

116739090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 116739090 is about 10804.5865261008. The cubic root of 116739090 is about 488.7334917229.

The spelling of 116739090 in words is "one hundred sixteen million, seven hundred thirty-nine thousand, ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 79 90 117 130 135 158 195 234 237 270 351 390 395 421 474 585 702 711 790 842 1027 1170 1185 1263 1422 1755 2054 2105 2133 2370 2526 3081 3510 3555 3789 4210 4266 5135 5473 6162 6315 7110 7578 9243 10270 10665 10946 11367 12630 15405 16419 18486 18945 21330 22734 27365 27729 30810 32838 33259 37890 46215 49257 54730 55458 56835 66518 82095 92430 98514 99777 113670 138645 147771 164190 166295 199554 246285 277290 295542 299331 332590 432367 492570 498885 598662 738855 864734 897993 997770 1297101 1477710 1496655 1795986 2161835 2594202 2993310 3891303 4323670 4489965 6485505 7782606 8979930 11673909 12971010 19456515 23347818 38913030 58369545 116739090