Search a number
-
+
117905392 = 24112392803
BaseRepresentation
bin1110000011100…
…01011111110000
322012212012210101
413001301133300
5220140433032
615411042144
72631115333
oct701613760
9265765711
10117905392
1160611080
12335a0354
131b572707
141193261a
15a53ede7
hex70717f0

117905392 has 40 divisors (see below), whose sum is σ = 250341120. Its totient is φ = 53350080.

The previous prime is 117905377. The next prime is 117905399. The reversal of 117905392 is 293509711.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117905399) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40663 + ... + 43465.

It is an arithmetic number, because the mean of its divisors is an integer number (6258528).

Almost surely, 2117905392 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 117905392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125170560).

117905392 is an abundant number, since it is smaller than the sum of its proper divisors (132435728).

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

117905392 is a wasteful number, since it uses less digits than its factorization.

117905392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3061 (or 3055 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 37.

The square root of 117905392 is about 10858.4249318214. The cubic root of 117905392 is about 490.3556934247.

It can be divided in two parts, 117 and 905392, that added together give a palindrome (905509).

The spelling of 117905392 in words is "one hundred seventeen million, nine hundred five thousand, three hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 239 478 956 1912 2629 2803 3824 5258 5606 10516 11212 21032 22424 30833 42064 44848 61666 123332 246664 493328 669917 1339834 2679668 5359336 7369087 10718672 14738174 29476348 58952696 117905392