Search a number
-
+
117821872 = 24743067
BaseRepresentation
bin1110000010111…
…01000110110000
322012200222020001
413001131012300
5220130244442
615405155344
72630320000
oct701350660
9265628201
10117821872
1160564353
123355bb54
131b5436ac
1411910000
15a5252b7
hex705d1b0

117821872 has 50 divisors (see below), whose sum is σ = 266397508. Its totient is φ = 50478624.

The previous prime is 117821861. The next prime is 117821909. The reversal of 117821872 is 278128711.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 36883 + ... + 39949.

Almost surely, 2117821872 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 117821872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133198754).

117821872 is an abundant number, since it is smaller than the sum of its proper divisors (148575636).

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

117821872 is an frugal number, since it uses more digits than its factorization.

117821872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3103 (or 3076 counting only the distinct ones).

The product of its digits is 12544, while the sum is 37.

The square root of 117821872 is about 10854.5783888643. The cubic root of 117821872 is about 490.2398825448.

The spelling of 117821872 in words is "one hundred seventeen million, eight hundred twenty-one thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1372 2401 2744 3067 4802 5488 6134 9604 12268 19208 21469 24536 38416 42938 49072 85876 150283 171752 300566 343504 601132 1051981 1202264 2103962 2404528 4207924 7363867 8415848 14727734 16831696 29455468 58910936 117821872