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116706304 = 2101113797
BaseRepresentation
bin1101111010011…
…00110000000000
322010121021221201
412331030300000
5214334100204
615325230544
72614662421
oct675146000
9263537851
10116706304
115a9721a0
1233102454
131b2429b0
14116dd648
15a3a49a4
hex6f4cc00

116706304 has 88 divisors (see below), whose sum is σ = 274429008. Its totient is φ = 48906240.

The previous prime is 116706283. The next prime is 116706349. The reversal of 116706304 is 403607611.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-2 number, since 2×1167063042 = 27240722786680832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146034 + ... + 146830.

Almost surely, 2116706304 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 116706304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137214504).

116706304 is an abundant number, since it is smaller than the sum of its proper divisors (157722704).

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

116706304 is a wasteful number, since it uses less digits than its factorization.

116706304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 116706304 is about 10803.0691935209. The cubic root of 116706304 is about 488.6877340806.

The spelling of 116706304 in words is "one hundred sixteen million, seven hundred six thousand, three hundred four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 256 286 352 416 512 572 704 797 832 1024 1144 1408 1594 1664 2288 2816 3188 3328 4576 5632 6376 6656 8767 9152 10361 11264 12752 13312 17534 18304 20722 25504 35068 36608 41444 51008 70136 73216 82888 102016 113971 140272 146432 165776 204032 227942 280544 331552 408064 455884 561088 663104 816128 911768 1122176 1326208 1823536 2244352 2652416 3647072 4488704 5304832 7294144 8977408 10609664 14588288 29176576 58353152 116706304