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290620080 = 243251672417
BaseRepresentation
bin10001010100101…
…000001010110000
3202020212000210200
4101110220022300
51043344320310
644500555200
710126141602
oct2124501260
9666760720
10290620080
1113a058193
12813b2b00
134829555a
142a851172
151a7a99c0
hex115282b0

290620080 has 120 divisors (see below), whose sum is σ = 982249632. Its totient is φ = 77002752.

The previous prime is 290620073. The next prime is 290620091. The reversal of 290620080 is 80026092.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119032 + ... + 121448.

Almost surely, 2290620080 is an apocalyptic number.

290620080 is a gapful number since it is divisible by the number (20) 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 290620080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491124816).

290620080 is an abundant number, since it is smaller than the sum of its proper divisors (691629552).

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

290620080 is a wasteful number, since it uses less digits than its factorization.

290620080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2603 (or 2594 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 290620080 is about 17047.5828198604. The cubic root of 290620080 is about 662.3820262224.

The spelling of 290620080 in words is "two hundred ninety million, six hundred twenty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 167 180 240 334 360 501 668 720 835 1002 1336 1503 1670 2004 2417 2505 2672 3006 3340 4008 4834 5010 6012 6680 7251 7515 8016 9668 10020 12024 12085 13360 14502 15030 19336 20040 21753 24048 24170 29004 30060 36255 38672 40080 43506 48340 58008 60120 72510 87012 96680 108765 116016 120240 145020 174024 193360 217530 290040 348048 403639 435060 580080 807278 870120 1210917 1614556 1740240 2018195 2421834 3229112 3632751 4036390 4843668 6054585 6458224 7265502 8072780 9687336 12109170 14531004 16145560 18163755 19374672 24218340 29062008 32291120 36327510 48436680 58124016 72655020 96873360 145310040 290620080