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116845008 = 2437347151
BaseRepresentation
bin1101111011011…
…10100111010000
322010212100012220
412331232213100
5214403020013
615332221040
72616111000
oct675564720
9263770186
10116845008
115aa57425
123316a780
131b290b77
1411738000
15a3d0b23
hex6f6e9d0

116845008 has 160 divisors (see below), whose sum is σ = 361881600. Its totient is φ = 32457600.

The previous prime is 116844997. The next prime is 116845049. The reversal of 116845008 is 800548611.

It is a self number, because there is not a number n which added to its sum of digits gives 116845008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 773733 + ... + 773883.

It is an arithmetic number, because the mean of its divisors is an integer number (2261760).

Almost surely, 2116845008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116845008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180940800).

116845008 is an abundant number, since it is smaller than the sum of its proper divisors (245036592).

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

116845008 is a wasteful number, since it uses less digits than its factorization.

116845008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 116845008 is about 10809.4869443466. The cubic root of 116845008 is about 488.8812572118.

The spelling of 116845008 in words is "one hundred sixteen million, eight hundred forty-five thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 49 56 84 94 98 112 141 147 151 168 188 196 282 294 302 329 336 343 376 392 453 564 588 604 658 686 752 784 906 987 1029 1057 1128 1176 1208 1316 1372 1812 1974 2058 2114 2256 2303 2352 2416 2632 2744 3171 3624 3948 4116 4228 4606 5264 5488 6342 6909 7097 7248 7399 7896 8232 8456 9212 12684 13818 14194 14798 15792 16121 16464 16912 18424 21291 22197 25368 27636 28388 29596 32242 36848 42582 44394 48363 49679 50736 51793 55272 56776 59192 64484 85164 88788 96726 99358 103586 110544 113552 118384 128968 149037 155379 170328 177576 193452 198716 207172 257936 298074 310758 340656 347753 355152 386904 397432 414344 596148 621516 695506 773808 794864 828688 1043259 1192296 1243032 1391012 2086518 2384592 2434271 2486064 2782024 4173036 4868542 5564048 7302813 8346072 9737084 14605626 16692144 19474168 29211252 38948336 58422504 116845008