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117095616 = 26321118481
BaseRepresentation
bin1101111101010…
…11110011000000
322011100001222200
412332223303000
5214434024431
615341433200
72621203431
oct676536300
9264301880
10117095616
1160108740
123326b800
131b34ac61
14117a1488
15a42eee6
hex6fabcc0

117095616 has 84 divisors (see below), whose sum is σ = 366165384. Its totient is φ = 35481600.

The previous prime is 117095593. The next prime is 117095623. The reversal of 117095616 is 616590711.

It is a happy number.

It is a super-2 number, since 2×1170956162 = 27422766572838912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2905 + ... + 15576.

Almost surely, 2117095616 is an apocalyptic number.

117095616 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 117095616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183082692).

117095616 is an abundant number, since it is smaller than the sum of its proper divisors (249069768).

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

117095616 is a wasteful number, since it uses less digits than its factorization.

117095616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18510 (or 18497 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 117095616 is about 10821.0727749147. The cubic root of 117095616 is about 489.2305235003.

It can be divided in two parts, 117095 and 616, that added together give a palindrome (117711).

The spelling of 117095616 in words is "one hundred seventeen million, ninety-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 18481 36962 55443 73924 110886 147848 166329 203291 221772 295696 332658 406582 443544 591392 609873 665316 813164 887088 1182784 1219746 1330632 1626328 1774176 1829619 2439492 2661264 3252656 3548352 3659238 4878984 5322528 6505312 7318476 9757968 10645056 13010624 14636952 19515936 29273904 39031872 58547808 117095616