Search a number
-
+
117821264 = 24112392801
BaseRepresentation
bin1110000010111…
…00111101010000
322012200221101112
413001130331100
5220130240024
615405152452
72630315141
oct701347520
9265627345
10117821264
1160563950
123355b728
131b543332
141190dac8
15a52500e
hex705cf50

117821264 has 40 divisors (see below), whose sum is σ = 250162560. Its totient is φ = 53312000.

The previous prime is 117821257. The next prime is 117821273. The reversal of 117821264 is 462128711.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 117821264.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 40664 + ... + 43464.

It is an arithmetic number, because the mean of its divisors is an integer number (6254064).

Almost surely, 2117821264 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 117821264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125081280).

117821264 is an abundant number, since it is smaller than the sum of its proper divisors (132341296).

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

117821264 is a wasteful number, since it uses less digits than its factorization.

117821264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3059 (or 3053 counting only the distinct ones).

The product of its digits is 5376, while the sum is 32.

The square root of 117821264 is about 10854.5503822130. The cubic root of 117821264 is about 490.2390392765.

Adding to 117821264 its reverse (462128711), we get a palindrome (579949975).

The spelling of 117821264 in words is "one hundred seventeen million, eight hundred twenty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 239 478 956 1912 2629 2801 3824 5258 5602 10516 11204 21032 22408 30811 42064 44816 61622 123244 246488 492976 669439 1338878 2677756 5355512 7363829 10711024 14727658 29455316 58910632 117821264