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590121 = 327171929
BaseRepresentation
bin10010000000100101001
31002222111100
42100010221
5122340441
620352013
75005320
oct2200451
91088440
10590121
11373404
12245609
131787ac
141150b7
15b9cb6
hex90129

590121 has 48 divisors (see below), whose sum is σ = 1123200. Its totient is φ = 290304.

The previous prime is 590119. The next prime is 590123. The reversal of 590121 is 121095.

It is an interprime number because it is at equal distance from previous prime (590119) and next prime (590123).

It is not a de Polignac number, because 590121 - 21 = 590119 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 590094 and 590103.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 590121.

It is not an unprimeable number, because it can be changed into a prime (590123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20335 + ... + 20363.

It is an arithmetic number, because the mean of its divisors is an integer number (23400).

2590121 is an apocalyptic number.

590121 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

590121 is a deficient number, since it is larger than the sum of its proper divisors (533079).

590121 is a wasteful number, since it uses less digits than its factorization.

590121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 590121 is about 768.1933350401. The cubic root of 590121 is about 83.8777985004.

The spelling of 590121 in words is "five hundred ninety thousand, one hundred twenty-one".

Divisors: 1 3 7 9 17 19 21 29 51 57 63 87 119 133 153 171 203 261 323 357 399 493 551 609 969 1071 1197 1479 1653 1827 2261 2907 3451 3857 4437 4959 6783 9367 10353 11571 20349 28101 31059 34713 65569 84303 196707 590121