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117036180 = 223253717573
BaseRepresentation
bin1101111100111…
…01010010010100
322011020001110100
412332131102110
5214430124210
615340254100
72620535232
oct676352224
9264201410
10117036180
1160078018
1233241330
131b329ba1
1411787952
15a41c5c0
hex6f9d494

117036180 has 72 divisors (see below), whose sum is σ = 364625352. Its totient is φ = 30364416.

The previous prime is 117036163. The next prime is 117036197. The reversal of 117036180 is 81630711.

It is an interprime number because it is at equal distance from previous prime (117036163) and next prime (117036197).

It can be written as a sum of positive squares in 4 ways, for example, as 43007364 + 74028816 = 6558^2 + 8604^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2127 + ... + 15446.

It is an arithmetic number, because the mean of its divisors is an integer number (5064241).

Almost surely, 2117036180 is an apocalyptic number.

117036180 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 117036180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182312676).

117036180 is an abundant number, since it is smaller than the sum of its proper divisors (247589172).

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

117036180 is a wasteful number, since it uses less digits than its factorization.

117036180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17625 (or 17620 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 117036180 is about 10818.3261182126. The cubic root of 117036180 is about 489.1477341025.

Adding to 117036180 its reverse (81630711), we get a palindrome (198666891).

The spelling of 117036180 in words is "one hundred seventeen million, thirty-six thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 17573 35146 52719 70292 87865 105438 158157 175730 210876 263595 316314 351460 527190 632628 650201 790785 1054380 1300402 1581570 1950603 2600804 3163140 3251005 3901206 5851809 6502010 7802412 9753015 11703618 13004020 19506030 23407236 29259045 39012060 58518090 117036180