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290390016 = 21637211
BaseRepresentation
bin10001010011110…
…000000000000000
3202020102100012210
4101103300000000
51043314440031
644452022120
710124163060
oct2123600000
9666370183
10290390016
11139a10354
1281301940
1348214917
142a7d13a0
151a761746
hex114f0000

290390016 has 136 divisors (see below), whose sum is σ = 889185664. Its totient is φ = 82575360.

The previous prime is 290390011. The next prime is 290390027. The reversal of 290390016 is 610093092.

It is a super-2 number, since 2×2903900162 = 168652722784960512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290390011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1376151 + ... + 1376361.

Almost surely, 2290390016 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 290390016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444592832).

290390016 is an abundant number, since it is smaller than the sum of its proper divisors (598795648).

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

290390016 is an frugal number, since it uses more digits than its factorization.

290390016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 290390016 is about 17040.8337824180. The cubic root of 290390016 is about 662.2071925948.

The spelling of 290390016 in words is "two hundred ninety million, three hundred ninety thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 211 224 256 336 384 422 448 512 633 672 768 844 896 1024 1266 1344 1477 1536 1688 1792 2048 2532 2688 2954 3072 3376 3584 4096 4431 5064 5376 5908 6144 6752 7168 8192 8862 10128 10752 11816 12288 13504 14336 16384 17724 20256 21504 23632 24576 27008 28672 32768 35448 40512 43008 47264 49152 54016 57344 65536 70896 81024 86016 94528 98304 108032 114688 141792 162048 172032 189056 196608 216064 229376 283584 324096 344064 378112 432128 458752 567168 648192 688128 756224 864256 1134336 1296384 1376256 1512448 1728512 2268672 2592768 3024896 3457024 4537344 5185536 6049792 6914048 9074688 10371072 12099584 13828096 18149376 20742144 24199168 36298752 41484288 48398336 72597504 96796672 145195008 290390016