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117750312 = 23325359523
BaseRepresentation
bin1110000010010…
…11101000101000
322012120100001200
413001023220220
5220121002222
615403444200
72626601241
oct701135050
9265510050
10117750312
1160515609
1233526660
131b519c54
14118d1cc8
15a50deac
hex704ba28

117750312 has 96 divisors (see below), whose sum is σ = 331063200. Its totient is φ = 37784448.

The previous prime is 117750301. The next prime is 117750323. The reversal of 117750312 is 213057711.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (117750301) and next prime (117750323).

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 23 ways as a sum of consecutive naturals, for example, 224883 + ... + 225405.

It is an arithmetic number, because the mean of its divisors is an integer number (3448575).

Almost surely, 2117750312 is an apocalyptic number.

117750312 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 117750312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165531600).

117750312 is an abundant number, since it is smaller than the sum of its proper divisors (213312888).

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

117750312 is a wasteful number, since it uses less digits than its factorization.

117750312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 117750312 is about 10851.2815832970. The cubic root of 117750312 is about 490.1406121515.

The spelling of 117750312 in words is "one hundred seventeen million, seven hundred fifty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 59 72 106 118 159 177 212 236 318 354 424 472 477 523 531 636 708 954 1046 1062 1272 1416 1569 1908 2092 2124 3127 3138 3816 4184 4248 4707 6254 6276 9381 9414 12508 12552 18762 18828 25016 27719 28143 30857 37524 37656 55438 56286 61714 75048 83157 92571 110876 112572 123428 166314 185142 221752 225144 246856 249471 277713 332628 370284 498942 555426 665256 740568 997884 1110852 1635421 1995768 2221704 3270842 4906263 6541684 9812526 13083368 14718789 19625052 29437578 39250104 58875156 117750312