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290533136 = 2429718819
BaseRepresentation
bin10001010100010…
…010111100010000
3202020200121112112
4101110102330100
51043334030021
644455044452
710125330245
oct2124227420
9666617475
10290533136
11139aa8933
1281370728
1348264aca
142a82b5cc
151a78dd5b
hex11512f10

290533136 has 40 divisors (see below), whose sum is σ = 590587200. Its totient is φ = 138266240.

The previous prime is 290533127. The next prime is 290533153. The reversal of 290533136 is 631335092.

It is a super-2 number, since 2×2905331362 = 168819006227988992, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 28535 + ... + 37353.

It is an arithmetic number, because the mean of its divisors is an integer number (14764680).

Almost surely, 2290533136 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 290533136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295293600).

290533136 is an abundant number, since it is smaller than the sum of its proper divisors (300054064).

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

290533136 is a wasteful number, since it uses less digits than its factorization.

290533136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8927 (or 8921 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 32.

The square root of 290533136 is about 17045.0325901712. The cubic root of 290533136 is about 662.3159653055.

The spelling of 290533136 in words is "two hundred ninety million, five hundred thirty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 29 58 71 116 142 232 284 464 568 1136 2059 4118 8236 8819 16472 17638 32944 35276 70552 141104 255751 511502 626149 1023004 1252298 2046008 2504596 4092016 5009192 10018384 18158321 36316642 72633284 145266568 290533136