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1145002590 = 2325103123517
BaseRepresentation
bin100010000111111…
…0101101001011110
32221210112011021100
41010033311221132
54321110040330
6305341213530
740242234654
oct10417655136
92853464240
101145002590
11538362436
1227b5612a6
131532a9534
14ac0d4dd4
156a7c5060
hex443f5a5e

1145002590 has 48 divisors (see below), whose sum is σ = 3005934048. Its totient is φ = 302367168.

The previous prime is 1145002549. The next prime is 1145002609. The reversal of 1145002590 is 952005411.

It is a super-2 number, since 2×11450025902 = 2622061862213416200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52489 + ... + 71028.

It is an arithmetic number, because the mean of its divisors is an integer number (62623626).

Almost surely, 21145002590 is an apocalyptic number.

1145002590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1145002590 is an abundant number, since it is smaller than the sum of its proper divisors (1860931458).

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

1145002590 is a wasteful number, since it uses less digits than its factorization.

1145002590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123633 (or 123630 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1145002590 is about 33837.8869021102. The cubic root of 1145002590 is about 1046.1697454317.

The spelling of 1145002590 in words is "one billion, one hundred forty-five million, two thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 103 206 309 515 618 927 1030 1545 1854 3090 4635 9270 123517 247034 370551 617585 741102 1111653 1235170 1852755 2223306 3705510 5558265 11116530 12722251 25444502 38166753 63611255 76333506 114500259 127222510 190833765 229000518 381667530 572501295 1145002590