Search a number
-
+
117894336 = 263787719
BaseRepresentation
bin1110000011011…
…10110011000000
322012211122121220
413001232303000
5220140104321
615410515040
72631041160
oct701566300
9265748556
10117894336
116060383a
1233595a80
131b56a681
141192c5a0
15a53b9c6
hex706ecc0

117894336 has 56 divisors (see below), whose sum is σ = 356494080. Its totient is φ = 33683712.

The previous prime is 117894319. The next prime is 117894349. The reversal of 117894336 is 633498711.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×1178943363 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42516 + ... + 45203.

Almost surely, 2117894336 is an apocalyptic number.

117894336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

117894336 is an abundant number, since it is smaller than the sum of its proper divisors (238599744).

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

117894336 is an equidigital number, since it uses as much as digits as its factorization.

117894336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87741 (or 87731 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 117894336 is about 10857.9158221088. The cubic root of 117894336 is about 490.3403660454.

It can be divided in two parts, 117 and 894336, that added together give a triangular number (894453 = T1337).

The spelling of 117894336 in words is "one hundred seventeen million, eight hundred ninety-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 87719 175438 263157 350876 526314 614033 701752 1052628 1228066 1403504 1842099 2105256 2456132 2807008 3684198 4210512 4912264 5614016 7368396 8421024 9824528 14736792 16842048 19649056 29473584 39298112 58947168 117894336