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290743420 = 225113189479
BaseRepresentation
bin10001010101000…
…110010001111100
3202021002021222211
4101111012101330
51043412242140
644503350204
710130164312
oct2125062174
9667067884
10290743420
1113a131920
1281452364
1348309736
142a8840b2
151a7d12ea
hex1154647c

290743420 has 96 divisors (see below), whose sum is σ = 696729600. Its totient is φ = 100953600.

The previous prime is 290743393. The next prime is 290743421. The reversal of 290743420 is 24347092.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290743421) 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 31 ways as a sum of consecutive naturals, for example, 606741 + ... + 607219.

It is an arithmetic number, because the mean of its divisors is an integer number (7257600).

Almost surely, 2290743420 is an apocalyptic number.

290743420 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 290743420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348364800).

290743420 is an abundant number, since it is smaller than the sum of its proper divisors (405986180).

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

290743420 is a wasteful number, since it uses less digits than its factorization.

290743420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 290743420 is about 17051.1999577742. The cubic root of 290743420 is about 662.4757185832.

The spelling of 290743420 in words is "two hundred ninety million, seven hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 89 110 124 155 178 220 310 341 356 445 479 620 682 890 958 979 1364 1705 1780 1916 1958 2395 2759 3410 3916 4790 4895 5269 5518 6820 9580 9790 10538 11036 13795 14849 19580 21076 26345 27590 29698 30349 42631 52690 55180 59396 60698 74245 85262 105380 121396 148490 151745 163339 170524 213155 296980 303490 326678 426310 468941 606980 653356 816695 852620 937882 1321561 1633390 1875764 2344705 2643122 3266780 4689410 5286244 6607805 9378820 13215610 14537171 26431220 29074342 58148684 72685855 145371710 290743420