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116666880 = 2935111381
BaseRepresentation
bin1101111010000…
…11001000000000
322010112021212120
412331003020000
5214331320010
615324324240
72614436451
oct675031000
9263467776
10116666880
115a945610
12330a3680
131b22aa75
14116cd128
15a397e70
hex6f43200

116666880 has 160 divisors (see below), whose sum is σ = 407170368. Its totient is φ = 28262400.

The previous prime is 116666873. The next prime is 116666881. The reversal of 116666880 is 88666611.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1166668802 = 27222321777868800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116666881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83790 + ... + 85170.

Almost surely, 2116666880 is an apocalyptic number.

116666880 is a gapful number since it is divisible by the number (10) 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 116666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203585184).

116666880 is an abundant number, since it is smaller than the sum of its proper divisors (290503488).

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

116666880 is a wasteful number, since it uses less digits than its factorization.

116666880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1402 counting only the distinct ones).

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

The square root of 116666880 is about 10801.2443727563. The cubic root of 116666880 is about 488.6327007923.

The spelling of 116666880 in words is "one hundred sixteen million, six hundred sixty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 512 528 640 660 704 768 880 960 1056 1280 1320 1381 1408 1536 1760 1920 2112 2560 2640 2762 2816 3520 3840 4143 4224 5280 5524 5632 6905 7040 7680 8286 8448 10560 11048 13810 14080 15191 16572 16896 20715 21120 22096 27620 28160 30382 33144 41430 42240 44192 45573 55240 60764 66288 75955 82860 84480 88384 91146 110480 121528 132576 151910 165720 176768 182292 220960 227865 243056 265152 303820 331440 353536 364584 441920 455730 486112 530304 607640 662880 707072 729168 883840 911460 972224 1060608 1215280 1325760 1458336 1767680 1822920 1944448 2121216 2430560 2651520 2916672 3535360 3645840 3888896 4861120 5303040 5833344 7291680 7777792 9722240 10606080 11666688 14583360 19444480 23333376 29166720 38888960 58333440 116666880