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117032112 = 24321934211
BaseRepresentation
bin1101111100111…
…00010010110000
322011012211212200
412332130102300
5214430011422
615340223200
72620520331
oct676342260
9264184780
10117032112
1160074a5a
123323ab00
131b328092
1411786288
15a41b2ac
hex6f9c4b0

117032112 has 60 divisors (see below), whose sum is σ = 329302584. Its totient is φ = 38799360.

The previous prime is 117032093. The next prime is 117032137. The reversal of 117032112 is 211230711.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25687 + ... + 29897.

Almost surely, 2117032112 is an apocalyptic number.

117032112 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 117032112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164651292).

117032112 is an abundant number, since it is smaller than the sum of its proper divisors (212270472).

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

117032112 is a wasteful number, since it uses less digits than its factorization.

117032112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4418 (or 4409 counting only the distinct ones).

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

The square root of 117032112 is about 10818.1381022799. The cubic root of 117032112 is about 489.1420666925.

Adding to 117032112 its reverse (211230711), we get a palindrome (328262823).

The spelling of 117032112 in words is "one hundred seventeen million, thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 193 386 579 772 1158 1544 1737 2316 3088 3474 4211 4632 6948 8422 9264 12633 13896 16844 25266 27792 33688 37899 50532 67376 75798 101064 151596 202128 303192 606384 812723 1625446 2438169 3250892 4876338 6501784 7314507 9752676 13003568 14629014 19505352 29258028 39010704 58516056 117032112