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117011232 = 25321331253
BaseRepresentation
bin1101111100101…
…11001100100000
322011011210020100
412332113030200
5214423324412
615335542400
72620402422
oct676271440
9264153210
10117011232
11600602a8
123322aa00
131b31b720
141177c812
15a414edc
hex6f97320

117011232 has 72 divisors (see below), whose sum is σ = 358358364. Its totient is φ = 36002304.

The previous prime is 117011231. The next prime is 117011239. The reversal of 117011232 is 232110711.

It is a happy number.

117011232 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in 2 ways, for example, as 114832656 + 2178576 = 10716^2 + 1476^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (117011231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11883 + ... + 19370.

Almost surely, 2117011232 is an apocalyptic number.

117011232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

117011232 is an abundant number, since it is smaller than the sum of its proper divisors (241347132).

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

117011232 is a wasteful number, since it uses less digits than its factorization.

117011232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31282 (or 31271 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 117011232 is about 10817.1730133154. The cubic root of 117011232 is about 489.1129752645.

Adding to 117011232 its reverse (232110711), we get a palindrome (349121943).

The spelling of 117011232 in words is "one hundred seventeen million, eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 31253 62506 93759 125012 187518 250024 281277 375036 406289 500048 562554 750072 812578 1000096 1125108 1218867 1500144 1625156 2250216 2437734 3000288 3250312 3656601 4500432 4875468 6500624 7313202 9000864 9750936 13001248 14626404 19501872 29252808 39003744 58505616 117011232