Search a number
-
+
183968064 = 2633767227
BaseRepresentation
bin10101111011100…
…10000101000000
3110211011112202000
422331302011000
5334043434224
630131024000
74362463020
oct1275620500
9424145660
10183968064
1194932a25
125173b000
132c163057
141a60ba80
151123e0c9
hexaf72140

183968064 has 224 divisors, whose sum is σ = 630082560. Its totient is φ = 51549696.

The previous prime is 183968039. The next prime is 183968117. The reversal of 183968064 is 460869381.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 810319 + ... + 810545.

Almost surely, 2183968064 is an apocalyptic number.

183968064 is a gapful number since it is divisible by the number (14) 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 183968064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315041280).

183968064 is an abundant number, since it is smaller than the sum of its proper divisors (446114496).

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

183968064 is a wasteful number, since it uses less digits than its factorization.

183968064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 183968064 is about 13563.4827385889. The cubic root of 183968064 is about 568.7404876403.

The spelling of 183968064 in words is "one hundred eighty-three million, nine hundred sixty-eight thousand, sixty-four".