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290284129 = 1737212473
BaseRepresentation
bin10001010011010…
…110001001100001
3202020012221222001
4101103112021201
51043303043004
644445444001
710123242262
oct2123261141
9666187861
10290284129
11139948843
1281270601
13481a8675
142a7a4969
151a7401a4
hex114d6261

290284129 has 12 divisors (see below), whose sum is σ = 315916524. Its totient is φ = 265803264.

The previous prime is 290284123. The next prime is 290284187. The reversal of 290284129 is 921482092.

It can be written as a sum of positive squares in 6 ways, for example, as 121881600 + 168402529 = 11040^2 + 12977^2 .

It is not a de Polignac number, because 290284129 - 25 = 290284097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290284123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17037 + ... + 29509.

It is an arithmetic number, because the mean of its divisors is an integer number (26326377).

Almost surely, 2290284129 is an apocalyptic number.

It is an amenable number.

290284129 is a deficient number, since it is larger than the sum of its proper divisors (25632395).

290284129 is a wasteful number, since it uses less digits than its factorization.

290284129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12564 (or 12527 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 290284129 is about 17037.7266382578. The cubic root of 290284129 is about 662.1266943527.

The spelling of 290284129 in words is "two hundred ninety million, two hundred eighty-four thousand, one hundred twenty-nine".

Divisors: 1 17 37 629 1369 12473 23273 212041 461501 7845517 17075537 290284129