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290209480 = 235114116087
BaseRepresentation
bin10001010011000…
…011111011001000
3202020002011120021
4101103003323020
51043243200410
644444110224
710122511531
oct2123037310
9666064507
10290209480
111398a7750
1281235374
13481806b2
142a785688
151a727eda
hex114c3ec8

290209480 has 64 divisors (see below), whose sum is σ = 729751680. Its totient is φ = 102950400.

The previous prime is 290209459. The next prime is 290209483. The reversal of 290209480 is 84902092.

It is not an unprimeable number, because it can be changed into a prime (290209483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9997 + ... + 26083.

It is an arithmetic number, because the mean of its divisors is an integer number (11402370).

Almost surely, 2290209480 is an apocalyptic number.

290209480 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 290209480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364875840).

290209480 is an abundant number, since it is smaller than the sum of its proper divisors (439542200).

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

290209480 is a wasteful number, since it uses less digits than its factorization.

290209480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16150 (or 16146 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 290209480 is about 17035.5358002031. The cubic root of 290209480 is about 662.0699323414.

The spelling of 290209480 in words is "two hundred ninety million, two hundred nine thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 164 205 220 328 410 440 451 820 902 1640 1804 2255 3608 4510 9020 16087 18040 32174 64348 80435 128696 160870 176957 321740 353914 643480 659567 707828 884785 1319134 1415656 1769570 2638268 3297835 3539140 5276536 6595670 7078280 7255237 13191340 14510474 26382680 29020948 36276185 58041896 72552370 145104740 290209480