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117740766 = 231113413347
BaseRepresentation
bin1110000010010…
…01010011011110
322012112211222010
413001021103132
5220120201031
615403332050
72626531353
oct701112336
9265484863
10117740766
1160509420
1233521026
131b5157c0
14118cc62a
15a50b246
hex70494de

117740766 has 64 divisors (see below), whose sum is σ = 283481856. Its totient is φ = 32121600.

The previous prime is 117740761. The next prime is 117740773. The reversal of 117740766 is 667047711.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117740761) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 33505 + ... + 36851.

It is an arithmetic number, because the mean of its divisors is an integer number (4429404).

Almost surely, 2117740766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117740766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141740928).

117740766 is an abundant number, since it is smaller than the sum of its proper divisors (165741090).

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

117740766 is a wasteful number, since it uses less digits than its factorization.

117740766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3417.

The product of its (nonzero) digits is 49392, while the sum is 39.

The square root of 117740766 is about 10850.8417185028. The cubic root of 117740766 is about 490.1273665851.

The spelling of 117740766 in words is "one hundred seventeen million, seven hundred forty thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 41 66 78 82 123 143 246 286 429 451 533 858 902 1066 1353 1599 2706 3198 3347 5863 6694 10041 11726 17589 20082 35178 36817 43511 73634 87022 110451 130533 137227 220902 261066 274454 411681 478621 823362 957242 1435863 1509497 1783951 2871726 3018994 3567902 4528491 5351853 9056982 10703706 19623461 39246922 58870383 117740766