Search a number
-
+
117191776 = 2513416871
BaseRepresentation
bin1101111110000…
…11010001100000
322011111221220011
412333003101200
5220000114101
615343454304
72622053662
oct677032140
9264457804
10117191776
1160173a09
12332b7394
131b382960
14117c8532
15a44d751
hex6fc3460

117191776 has 48 divisors (see below), whose sum is σ = 254566368. Its totient is φ = 52761600.

The previous prime is 117191773. The next prime is 117191783. The reversal of 117191776 is 677191711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117191771) 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 7 ways as a sum of consecutive naturals, for example, 13621 + ... + 20491.

It is an arithmetic number, because the mean of its divisors is an integer number (5303466).

Almost surely, 2117191776 is an apocalyptic number.

117191776 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 117191776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127283184).

117191776 is an abundant number, since it is smaller than the sum of its proper divisors (137374592).

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

117191776 is a wasteful number, since it uses less digits than its factorization.

117191776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6935 (or 6927 counting only the distinct ones).

The product of its digits is 18522, while the sum is 40.

The square root of 117191776 is about 10825.5150454840. The cubic root of 117191776 is about 489.3644070645.

The spelling of 117191776 in words is "one hundred seventeen million, one hundred ninety-one thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 41 52 82 104 164 208 328 416 533 656 1066 1312 2132 4264 6871 8528 13742 17056 27484 54968 89323 109936 178646 219872 281711 357292 563422 714584 1126844 1429168 2253688 2858336 3662243 4507376 7324486 9014752 14648972 29297944 58595888 117191776