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2410137990 = 234513228883
BaseRepresentation
bin1000111110100111…
…1100100110000110
320012222002200210000
42033221330212012
514413443403430
61035053342130
7113503556241
oct21751744606
96188080700
102410137990
111027507387
12573197946
132c5428270
1418c13c258
15e18c9e60
hex8fa7c986

2410137990 has 80 divisors (see below), whose sum is σ = 6979130928. Its totient is φ = 593262144.

The previous prime is 2410137967. The next prime is 2410138001. The reversal of 2410137990 is 997310142.

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 39 ways as a sum of consecutive naturals, for example, 103912 + ... + 124971.

Almost surely, 22410137990 is an apocalyptic number.

2410137990 is an abundant number, since it is smaller than the sum of its proper divisors (4568992938).

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

2410137990 is a wasteful number, since it uses less digits than its factorization.

2410137990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228915 (or 228906 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 2410137990 is about 49093.1562440224. The cubic root of 2410137990 is about 1340.7484476279.

The spelling of 2410137990 in words is "two billion, four hundred ten million, one hundred thirty-seven thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 390 405 585 702 810 1053 1170 1755 2106 3510 5265 10530 228883 457766 686649 1144415 1373298 2059947 2288830 2975479 3433245 4119894 5950958 6179841 6866490 8926437 10299735 12359682 14877395 17852874 18539523 20599470 26779311 29754790 30899205 37079046 44632185 53558622 61798410 80337933 89264370 92697615 133896555 160675866 185395230 241013799 267793110 401689665 482027598 803379330 1205068995 2410137990