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290629060 = 225731371453
BaseRepresentation
bin10001010100101…
…010010111000100
3202020212111010021
4101110222113010
51043400112220
644501104524
710126210021
oct2124522704
9666774107
10290629060
1113a063a07
12813b8144
1348299677
142a854548
151a7ac4aa
hex1152a5c4

290629060 has 48 divisors (see below), whose sum is σ = 623626416. Its totient is φ = 113743872.

The previous prime is 290629037. The next prime is 290629067. The reversal of 290629060 is 60926092.

290629060 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 28901376 + 261727684 = 5376^2 + 16178^2 .

It is not an unprimeable number, because it can be changed into a prime (290629067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199294 + ... + 200746.

It is an arithmetic number, because the mean of its divisors is an integer number (12992217).

Almost surely, 2290629060 is an apocalyptic number.

290629060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

290629060 is an abundant number, since it is smaller than the sum of its proper divisors (332997356).

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

290629060 is a wasteful number, since it uses less digits than its factorization.

290629060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 290629060 is about 17047.8461982738. The cubic root of 290629060 is about 662.3888485651.

The spelling of 290629060 in words is "two hundred ninety million, six hundred twenty-nine thousand, sixty".

Divisors: 1 2 4 5 10 20 73 137 146 274 292 365 548 685 730 1370 1453 1460 2740 2906 5812 7265 10001 14530 20002 29060 40004 50005 100010 106069 199061 200020 212138 398122 424276 530345 796244 995305 1060690 1990610 2121380 3981220 14531453 29062906 58125812 72657265 145314530 290629060