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116066688 = 2734759109
BaseRepresentation
bin1101110101100…
…00100110000000
322002101210120020
412322300212000
5214203113223
615303413440
72606356563
oct672604600
9262353506
10116066688
115a575691
1232a54280
131b07a81a
14115b44da
15a2ca1e3
hex6eb0980

116066688 has 128 divisors (see below), whose sum is σ = 323136000. Its totient is φ = 36882432.

The previous prime is 116066677. The next prime is 116066711. The reversal of 116066688 is 886660611.

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

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 15 ways as a sum of consecutive naturals, for example, 1064778 + ... + 1064886.

It is an arithmetic number, because the mean of its divisors is an integer number (2524500).

Almost surely, 2116066688 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 116066688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161568000).

116066688 is an abundant number, since it is smaller than the sum of its proper divisors (207069312).

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

116066688 is a wasteful number, since it uses less digits than its factorization.

116066688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 116066688 is about 10773.4250821176. The cubic root of 116066688 is about 487.7933371995.

The spelling of 116066688 in words is "one hundred sixteen million, sixty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 59 64 94 96 109 118 128 141 177 188 192 218 236 282 327 354 376 384 436 472 564 654 708 752 872 944 1128 1308 1416 1504 1744 1888 2256 2616 2773 2832 3008 3488 3776 4512 5123 5232 5546 5664 6016 6431 6976 7552 8319 9024 10246 10464 11092 11328 12862 13952 15369 16638 18048 19293 20492 20928 22184 22656 25724 30738 33276 38586 40984 41856 44368 51448 61476 66552 77172 81968 88736 102896 122952 133104 154344 163936 177472 205792 245904 266208 302257 308688 327872 354944 411584 491808 532416 604514 617376 655744 823168 906771 983616 1064832 1209028 1234752 1813542 1967232 2418056 2469504 3627084 4836112 7254168 9672224 14508336 19344448 29016672 38688896 58033344 116066688