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116830692 = 223211312307
BaseRepresentation
bin1101111011010…
…11000111100100
322010211121120200
412331223013210
5214402040232
615332030500
72616021156
oct675530744
9263747520
10116830692
115aa476a0
1233162430
131b2874b4
1411732ad6
15a3cb77c
hex6f6b1e4

116830692 has 108 divisors (see below), whose sum is σ = 333981648. Its totient is φ = 34149600.

The previous prime is 116830657. The next prime is 116830697. The reversal of 116830692 is 296038611.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (116830697) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 380403 + ... + 380709.

Almost surely, 2116830692 is an apocalyptic number.

116830692 is a gapful number since it is divisible by the number (12) 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 116830692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166990824).

116830692 is an abundant number, since it is smaller than the sum of its proper divisors (217150956).

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

116830692 is a wasteful number, since it uses less digits than its factorization.

116830692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 116830692 is about 10808.8247279711. The cubic root of 116830692 is about 488.8612902771.

The spelling of 116830692 in words is "one hundred sixteen million, eight hundred thirty thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 279 307 341 372 396 558 614 682 921 961 1023 1116 1228 1364 1842 1922 2046 2763 2883 3069 3377 3684 3844 4092 5526 5766 6138 6754 8649 9517 10131 10571 11052 11532 12276 13508 17298 19034 20262 21142 28551 30393 31713 34596 38068 40524 42284 57102 60786 63426 85653 95139 104687 114204 121572 126852 171306 190278 209374 295027 314061 342612 380556 418748 590054 628122 885081 942183 1180108 1256244 1770162 1884366 2655243 3245297 3540324 3768732 5310486 6490594 9735891 10620972 12981188 19471782 29207673 38943564 58415346 116830692