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117011180 = 2251113163251
BaseRepresentation
bin1101111100101…
…11001011101100
322011011210011102
412332113023230
5214423324210
615335542232
72620402316
oct676271354
9264153142
10117011180
1160060260
123322a978
131b31b6b0
141177c7b6
15a414ea5
hex6f972ec

117011180 has 96 divisors (see below), whose sum is σ = 291610368. Its totient is φ = 38880000.

The previous prime is 117011137. The next prime is 117011183. The reversal of 117011180 is 81110711.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (117011183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466055 + ... + 466305.

It is an arithmetic number, because the mean of its divisors is an integer number (3037608).

Almost surely, 2117011180 is an apocalyptic number.

117011180 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 117011180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145805184).

117011180 is an abundant number, since it is smaller than the sum of its proper divisors (174599188).

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

117011180 is a wasteful number, since it uses less digits than its factorization.

117011180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 20.

The square root of 117011180 is about 10817.1706097297. The cubic root of 117011180 is about 489.1129028102.

Adding to 117011180 its reverse (81110711), we get a palindrome (198121891).

The spelling of 117011180 in words is "one hundred seventeen million, eleven thousand, one hundred eighty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 163 220 251 260 286 326 502 572 652 715 815 1004 1255 1430 1630 1793 2119 2510 2761 2860 3260 3263 3586 4238 5020 5522 6526 7172 8476 8965 10595 11044 13052 13805 16315 17930 21190 23309 27610 32630 35860 35893 40913 42380 46618 55220 65260 71786 81826 93236 116545 143572 163652 179465 204565 233090 358930 409130 450043 466180 531869 717860 818260 900086 1063738 1800172 2127476 2250215 2659345 4500430 5318690 5850559 9000860 10637380 11701118 23402236 29252795 58505590 117011180