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290612140 = 225721322811
BaseRepresentation
bin10001010100100…
…110001110101100
3202020211121220121
4101110212032230
51043344042030
644500454324
710126106500
oct2124461654
9666747817
10290612140
1113a052225
12813aa3a4
1348291a60
142a84c300
151a7a747a
hex115263ac

290612140 has 72 divisors (see below), whose sum is σ = 764566992. Its totient is φ = 91969920.

The previous prime is 290612137. The next prime is 290612143. The reversal of 290612140 is 41216092.

It is an interprime number because it is at equal distance from previous prime (290612137) and next prime (290612143).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290612143) 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 23 ways as a sum of consecutive naturals, for example, 1335 + ... + 24145.

It is an arithmetic number, because the mean of its divisors is an integer number (10618986).

Almost surely, 2290612140 is an apocalyptic number.

290612140 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 290612140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382283496).

290612140 is an abundant number, since it is smaller than the sum of its proper divisors (473954852).

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

290612140 is a wasteful number, since it uses less digits than its factorization.

290612140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22847 (or 22838 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 290612140 is about 17047.3499406799. The cubic root of 290612140 is about 662.3759938780.

The spelling of 290612140 in words is "two hundred ninety million, six hundred twelve thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 980 1274 1820 2548 3185 6370 12740 22811 45622 91244 114055 159677 228110 296543 319354 456220 593086 638708 798385 1117739 1186172 1482715 1596770 2075801 2235478 2965430 3193540 4151602 4470956 5588695 5930860 8303204 10379005 11177390 14530607 20758010 22354780 29061214 41516020 58122428 72653035 145306070 290612140