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24130590 = 2351183881
BaseRepresentation
bin101110000001…
…1010000011110
31200101221221120
41130003100132
522134134330
62221111410
7412051401
oct134032036
950357846
1024130590
1112691740
1280b8566
134ccb573
1432c1d38
1521b9c10
hex170341e

24130590 has 64 divisors (see below), whose sum is σ = 64012032. Its totient is φ = 5772800.

The previous prime is 24130577. The next prime is 24130609. The reversal of 24130590 is 9503142.

It is a self number, because there is not a number n which added to its sum of digits gives 24130590.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26950 + ... + 27830.

It is an arithmetic number, because the mean of its divisors is an integer number (1000188).

Almost surely, 224130590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24130590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32006016).

24130590 is an abundant number, since it is smaller than the sum of its proper divisors (39881442).

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

24130590 is a wasteful number, since it uses less digits than its factorization.

24130590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 24130590 is about 4912.2896901547. The cubic root of 24130590 is about 288.9721440407.

The spelling of 24130590 in words is "twenty-four million, one hundred thirty thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 83 110 165 166 249 330 415 498 830 881 913 1245 1762 1826 2490 2643 2739 4405 4565 5286 5478 8810 9130 9691 13215 13695 19382 26430 27390 29073 48455 58146 73123 96910 145365 146246 219369 290730 365615 438738 731230 804353 1096845 1608706 2193690 2413059 4021765 4826118 8043530 12065295 24130590