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116946984 = 2337113523
BaseRepresentation
bin1101111100001…
…11100000101000
322011001112002210
412332013200220
5214414300414
615334325120
72620014210
oct676074050
9264045083
10116946984
1160017000
12331b97a0
131b2c83cb
1411763240
15a400e59
hex6f87828

116946984 has 128 divisors (see below), whose sum is σ = 368225280. Its totient is φ = 30317760.

The previous prime is 116946967. The next prime is 116947001. The reversal of 116946984 is 489649611.

116946984 = T97 + T98 + ... + T888.

It is an interprime number because it is at equal distance from previous prime (116946967) and next prime (116947001).

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 31 ways as a sum of consecutive naturals, for example, 223347 + ... + 223869.

It is an arithmetic number, because the mean of its divisors is an integer number (2876760).

Almost surely, 2116946984 is an apocalyptic number.

116946984 is a gapful number since it is divisible by the number (14) 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 116946984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184112640).

116946984 is an abundant number, since it is smaller than the sum of its proper divisors (251278296).

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

116946984 is a wasteful number, since it uses less digits than its factorization.

116946984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 546 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The square root of 116946984 is about 10814.2028832457. The cubic root of 116946984 is about 489.0234388922.

The spelling of 116946984 in words is "one hundred sixteen million, nine hundred forty-six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 121 132 154 168 231 242 264 308 363 462 484 523 616 726 847 924 968 1046 1331 1452 1569 1694 1848 2092 2541 2662 2904 3138 3388 3661 3993 4184 5082 5324 5753 6276 6776 7322 7986 9317 10164 10648 10983 11506 12552 14644 15972 17259 18634 20328 21966 23012 27951 29288 31944 34518 37268 40271 43932 46024 55902 63283 69036 74536 80542 87864 111804 120813 126566 138072 161084 189849 223608 241626 253132 322168 379698 442981 483252 506264 696113 759396 885962 966504 1328943 1392226 1518792 1771924 2088339 2657886 2784452 3543848 4176678 4872791 5315772 5568904 8353356 9745582 10631544 14618373 16706712 19491164 29236746 38982328 58473492 116946984