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116217984 = 2731719937
BaseRepresentation
bin1101110110101…
…01100010000000
322002200111002210
412323111202000
5214222433414
615310542120
72610556641
oct673254200
9262614083
10116217984
115a669323
1232b07940
131b10164c
14116136c8
15a309e59
hex6ed5880

116217984 has 128 divisors (see below), whose sum is σ = 344433600. Its totient is φ = 34504704.

The previous prime is 116217979. The next prime is 116217991. The reversal of 116217984 is 489712611.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123564 + ... + 124500.

Almost surely, 2116217984 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 116217984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172216800).

116217984 is an abundant number, since it is smaller than the sum of its proper divisors (228215616).

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

116217984 is a wasteful number, since it uses less digits than its factorization.

116217984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 978 counting only the distinct ones).

The product of its digits is 24192, while the sum is 39.

The square root of 116217984 is about 10780.4445177367. Note that the first 3 decimals coincide. The cubic root of 116217984 is about 488.0051956806.

The spelling of 116217984 in words is "one hundred sixteen million, two hundred seventeen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 64 68 76 96 102 114 128 136 152 192 204 228 272 304 323 384 408 456 544 608 646 816 912 937 969 1088 1216 1292 1632 1824 1874 1938 2176 2432 2584 2811 3264 3648 3748 3876 5168 5622 6528 7296 7496 7752 10336 11244 14992 15504 15929 17803 20672 22488 29984 31008 31858 35606 41344 44976 47787 53409 59968 62016 63716 71212 89952 95574 106818 119936 124032 127432 142424 179904 191148 213636 254864 284848 302651 359808 382296 427272 509728 569696 605302 764592 854544 907953 1019456 1139392 1210604 1529184 1709088 1815906 2038912 2278784 2421208 3058368 3418176 3631812 4842416 6116736 6836352 7263624 9684832 14527248 19369664 29054496 38739328 58108992 116217984