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117066880 = 275723733
BaseRepresentation
bin1101111101001…
…00110010000000
322011021121120101
412332210302000
5214432120010
615341052144
72621023600
oct676446200
9264247511
10117066880
1160099097
1233257054
131b33ab58
1411794c00
15a42673a
hex6fa4c80

117066880 has 96 divisors (see below), whose sum is σ = 325642140. Its totient is φ = 40126464.

The previous prime is 117066863. The next prime is 117066899. The reversal of 117066880 is 88660711.

It can be written as a sum of positive squares in 2 ways, for example, as 116812864 + 254016 = 10808^2 + 504^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29494 + ... + 33226.

Almost surely, 2117066880 is an apocalyptic number.

117066880 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 117066880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162821070).

117066880 is an abundant number, since it is smaller than the sum of its proper divisors (208575260).

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

117066880 is an equidigital number, since it uses as much as digits as its factorization.

117066880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3766 (or 3747 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 117066880 is about 10819.7449138138. The cubic root of 117066880 is about 489.1905001446.

The spelling of 117066880 in words is "one hundred seventeen million, sixty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 280 320 392 448 490 560 640 784 896 980 1120 1568 1960 2240 3136 3733 3920 4480 6272 7466 7840 14932 15680 18665 26131 29864 31360 37330 52262 59728 74660 104524 119456 130655 149320 182917 209048 238912 261310 298640 365834 418096 477824 522620 597280 731668 836192 914585 1045240 1194560 1463336 1672384 1829170 2090480 2389120 2926672 3344768 3658340 4180960 5853344 7316680 8361920 11706688 14633360 16723840 23413376 29266720 58533440 117066880