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117037088 = 257310663
BaseRepresentation
bin1101111100111…
…01100000100000
322011020002200222
412332131200200
5214430141323
615340302212
72620541000
oct676354040
9264202628
10117037088
1160078773
1233241968
131b32a41c
1411788000
15a41c9c8
hex6f9d820

117037088 has 48 divisors (see below), whose sum is σ = 268732800. Its totient is φ = 50154048.

The previous prime is 117037073. The next prime is 117037111. The reversal of 117037088 is 880730711.

It is a super-3 number, since 3×1170370883 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5645 + ... + 16307.

It is an arithmetic number, because the mean of its divisors is an integer number (5598600).

Almost surely, 2117037088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117037088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134366400).

117037088 is an abundant number, since it is smaller than the sum of its proper divisors (151695712).

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

117037088 is an equidigital number, since it uses as much as digits as its factorization.

117037088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10694 (or 10672 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 35.

The square root of 117037088 is about 10818.3680839579. The cubic root of 117037088 is about 489.1489990817.

Adding to 117037088 its reverse (880730711), we get a palindrome (997767799).

The spelling of 117037088 in words is "one hundred seventeen million, thirty-seven thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 343 392 686 784 1372 1568 2744 5488 10663 10976 21326 42652 74641 85304 149282 170608 298564 341216 522487 597128 1044974 1194256 2089948 2388512 3657409 4179896 7314818 8359792 14629636 16719584 29259272 58518544 117037088