Search a number
-
+
117137448 = 23332272389
BaseRepresentation
bin1101111101101…
…10000000101000
322011102012101000
412332312000220
5214441344243
615342355000
72621436411
oct676660050
9264365330
10117137448
116013710a
123328ba60
131b363ccc
14117b2808
15a43c5d3
hex6fb6028

117137448 has 64 divisors (see below), whose sum is σ = 326952000. Its totient is φ = 38857536.

The previous prime is 117137431. The next prime is 117137453. The reversal of 117137448 is 844731711.

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

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 15 ways as a sum of consecutive naturals, for example, 47838 + ... + 50226.

It is an arithmetic number, because the mean of its divisors is an integer number (5108625).

Almost surely, 2117137448 is an apocalyptic number.

117137448 is a gapful number since it is divisible by the number (18) 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 117137448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163476000).

117137448 is an abundant number, since it is smaller than the sum of its proper divisors (209814552).

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

117137448 is a wasteful number, since it uses less digits than its factorization.

117137448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631 (or 2621 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 117137448 is about 10823.0054975501. The cubic root of 117137448 is about 489.2887751963.

The spelling of 117137448 in words is "one hundred seventeen million, one hundred thirty-seven thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 227 454 681 908 1362 1816 2043 2389 2724 4086 4778 5448 6129 7167 8172 9556 12258 14334 16344 19112 21501 24516 28668 43002 49032 57336 64503 86004 129006 172008 258012 516024 542303 1084606 1626909 2169212 3253818 4338424 4880727 6507636 9761454 13015272 14642181 19522908 29284362 39045816 58568724 117137448