Search a number
-
+
117293920 = 2551375351
BaseRepresentation
bin1101111110111…
…00001101100000
322011201011000021
412333130031200
5220011401140
615350003224
72622660532
oct677341540
9264634007
10117293920
1160233727
1233346514
131b3ba2b3
1411813852
15a46db4a
hex6fdc360

117293920 has 48 divisors (see below), whose sum is σ = 279181728. Its totient is φ = 46566400.

The previous prime is 117293909. The next prime is 117293921. The reversal of 117293920 is 29392711.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117293921) 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, 19245 + ... + 24595.

It is an arithmetic number, because the mean of its divisors is an integer number (5816286).

Almost surely, 2117293920 is an apocalyptic number.

117293920 is a gapful number since it is divisible by the number (10) 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 117293920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139590864).

117293920 is an abundant number, since it is smaller than the sum of its proper divisors (161887808).

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

117293920 is a wasteful number, since it uses less digits than its factorization.

117293920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5503 (or 5495 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 117293920 is about 10830.2317611397. The cubic root of 117293920 is about 489.5065419602.

The spelling of 117293920 in words is "one hundred seventeen million, two hundred ninety-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 137 160 274 548 685 1096 1370 2192 2740 4384 5351 5480 10702 10960 21404 21920 26755 42808 53510 85616 107020 171232 214040 428080 733087 856160 1466174 2932348 3665435 5864696 7330870 11729392 14661740 23458784 29323480 58646960 117293920