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117148032 = 273411299
BaseRepresentation
bin1101111101110…
…00100110000000
322011102201220000
412332320212000
5214442214112
615342520000
72621512311
oct676704600
9264381800
10117148032
1160144061
1233296000
131b368a81
14117b6608
15a4407dc
hex6fb8980

117148032 has 80 divisors (see below), whose sum is σ = 348661500. Its totient is φ = 39045888.

The previous prime is 117148019. The next prime is 117148043. The reversal of 117148032 is 230841711.

It is a super-2 number, since 2×1171480322 = 27447322802946048, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 117147987 and 117148005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4719 + ... + 16017.

Almost surely, 2117148032 is an apocalyptic number.

117148032 is a gapful number since it is divisible by the number (12) 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 117148032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174330750).

117148032 is an abundant number, since it is smaller than the sum of its proper divisors (231513468).

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

117148032 is an equidigital number, since it uses as much as digits as its factorization.

117148032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11325 (or 11304 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 117148032 is about 10823.4944449563. The cubic root of 117148032 is about 489.3035113788.

Adding to 117148032 its reverse (230841711), we get a palindrome (347989743).

The spelling of 117148032 in words is "one hundred seventeen million, one hundred forty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 11299 22598 33897 45196 67794 90392 101691 135588 180784 203382 271176 305073 361568 406764 542352 610146 723136 813528 915219 1084704 1220292 1446272 1627056 1830438 2169408 2440584 3254112 3660876 4338816 4881168 6508224 7321752 9762336 13016448 14643504 19524672 29287008 39049344 58574016 117148032