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116810880 = 273583733
BaseRepresentation
bin1101111011001…
…10010010000000
322010210121101220
412331212102000
5214400422010
615331355040
72615606334
oct675462200
9263717356
10116810880
115aa3381a
1233152a80
131b27b484
14117297c4
15a3c5970
hex6f66480

116810880 has 128 divisors (see below), whose sum is σ = 377334720. Its totient is φ = 30732288.

The previous prime is 116810867. The next prime is 116810891. The reversal of 116810880 is 88018611.

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, 158994 + ... + 159726.

Almost surely, 2116810880 is an apocalyptic number.

116810880 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 116810880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188667360).

116810880 is an abundant number, since it is smaller than the sum of its proper divisors (260523840).

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

116810880 is an equidigital number, since it uses as much as digits as its factorization.

116810880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 33.

The square root of 116810880 is about 10807.9082157465. The cubic root of 116810880 is about 488.8336552232.

The spelling of 116810880 in words is "one hundred sixteen million, eight hundred ten thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 83 96 120 128 160 166 192 240 249 320 332 384 415 480 498 640 664 733 830 960 996 1245 1328 1466 1660 1920 1992 2199 2490 2656 2932 3320 3665 3984 4398 4980 5312 5864 6640 7330 7968 8796 9960 10624 10995 11728 13280 14660 15936 17592 19920 21990 23456 26560 29320 31872 35184 39840 43980 46912 53120 58640 60839 70368 79680 87960 93824 117280 121678 140736 159360 175920 182517 234560 243356 281472 304195 351840 365034 469120 486712 608390 703680 730068 912585 973424 1216780 1407360 1460136 1825170 1946848 2433560 2920272 3650340 3893696 4867120 5840544 7300680 7787392 9734240 11681088 14601360 19468480 23362176 29202720 38936960 58405440 116810880