Search a number
-
+
290201964 = 2231317310753
BaseRepresentation
bin10001010011000…
…010000101101100
3202020001210020220
4101103002011230
51043242430324
644444011340
710122450603
oct2123020554
9666053226
10290201964
111398a2038
1281230b50
134817a150
142a782a3a
151a725b79
hex114c216c

290201964 has 48 divisors (see below), whose sum is σ = 733508832. Its totient is φ = 88768512.

The previous prime is 290201963. The next prime is 290201993. The reversal of 290201964 is 469102092.

It is not an unprimeable number, because it can be changed into a prime (290201963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21612 + ... + 32364.

It is an arithmetic number, because the mean of its divisors is an integer number (15281434).

Almost surely, 2290201964 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 290201964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366754416).

290201964 is an abundant number, since it is smaller than the sum of its proper divisors (443306868).

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

290201964 is a wasteful number, since it uses less digits than its factorization.

290201964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10946 (or 10944 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 290201964 is about 17035.3152010757. The cubic root of 290201964 is about 662.0642167452.

The spelling of 290201964 in words is "two hundred ninety million, two hundred one thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 173 346 519 692 1038 2076 2249 4498 6747 8996 10753 13494 21506 26988 32259 43012 64518 129036 139789 279578 419367 559156 838734 1677468 1860269 3720538 5580807 7441076 11161614 22323228 24183497 48366994 72550491 96733988 145100982 290201964