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117620256 = 25313791193
BaseRepresentation
bin1110000001010…
…11111000100000
322012022201122210
413000223320200
5220102322011
615401002120
72625520125
oct700537040
9265281583
10117620256
1160436926
1233483340
131b4a29b0
141189a74c
15a4d56a6
hex702be20

117620256 has 96 divisors (see below), whose sum is σ = 336994560. Its totient is φ = 35702784.

The previous prime is 117620227. The next prime is 117620281. The reversal of 117620256 is 652026711.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97996 + ... + 99188.

It is an arithmetic number, because the mean of its divisors is an integer number (3510360).

Almost surely, 2117620256 is an apocalyptic number.

117620256 is a gapful number since it is divisible by the number (16) 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 117620256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168497280).

117620256 is an abundant number, since it is smaller than the sum of its proper divisors (219374304).

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

117620256 is a wasteful number, since it uses less digits than its factorization.

117620256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 117620256 is about 10845.2872714373. The cubic root of 117620256 is about 489.9600911548.

Adding to 117620256 its reverse (652026711), we get a palindrome (769646967).

It can be divided in two parts, 11 and 7620256, that added together give a palindrome (7620267).

The spelling of 117620256 in words is "one hundred seventeen million, six hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 79 96 104 156 158 208 237 312 316 416 474 624 632 948 1027 1193 1248 1264 1896 2054 2386 2528 3081 3579 3792 4108 4772 6162 7158 7584 8216 9544 12324 14316 15509 16432 19088 24648 28632 31018 32864 38176 46527 49296 57264 62036 93054 94247 98592 114528 124072 186108 188494 248144 282741 372216 376988 496288 565482 744432 753976 1130964 1225211 1488864 1507952 2261928 2450422 3015904 3675633 4523856 4900844 7351266 9047712 9801688 14702532 19603376 29405064 39206752 58810128 117620256