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117256104 = 23327733187
BaseRepresentation
bin1101111110100…
…10111110101000
322011122020010200
412333102332220
5220004143404
615345112200
72622442350
oct677227650
9264566120
10117256104
1160208279
1233328660
131b3a6014
1411803b60
15a462839
hex6fd2fa8

117256104 has 96 divisors (see below), whose sum is σ = 368022720. Its totient is φ = 33032448.

The previous prime is 117256103. The next prime is 117256109. The reversal of 117256104 is 401652711.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (117256103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35199 + ... + 38385.

It is an arithmetic number, because the mean of its divisors is an integer number (3833570).

Almost surely, 2117256104 is an apocalyptic number.

117256104 is a gapful number since it is divisible by the number (14) 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 117256104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184011360).

117256104 is an abundant number, since it is smaller than the sum of its proper divisors (250766616).

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

117256104 is a wasteful number, since it uses less digits than its factorization.

117256104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3279 (or 3272 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 117256104 is about 10828.4857667173. The cubic root of 117256104 is about 489.4539300570.

The spelling of 117256104 in words is "one hundred seventeen million, two hundred fifty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 73 84 126 146 168 219 252 292 438 504 511 584 657 876 1022 1314 1533 1752 2044 2628 3066 3187 4088 4599 5256 6132 6374 9198 9561 12264 12748 18396 19122 22309 25496 28683 36792 38244 44618 57366 66927 76488 89236 114732 133854 178472 200781 229464 232651 267708 401562 465302 535416 697953 803124 930604 1395906 1606248 1628557 1861208 2093859 2791812 3257114 4187718 4885671 5583624 6514228 8375436 9771342 13028456 14657013 16750872 19542684 29314026 39085368 58628052 117256104