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2024253090 = 2325137164173
BaseRepresentation
bin111100010100111…
…1010011010100010
312020001222201012200
41320221322122202
513121202044330
6532510434030
7101106603336
oct17051723242
95201881180
102024253090
11949702342
12485b02916
132634b95c2
14152bad7c6
15bcaa3a60
hex78a7a6a2

2024253090 has 48 divisors (see below), whose sum is σ = 5301506808. Its totient is φ = 535857408.

The previous prime is 2024253083. The next prime is 2024253109. The reversal of 2024253090 is 903524202.

2024253090 is a `hidden beast` number, since 2 + 0 + 2 + 42 + 530 + 90 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1989784449 + 34468641 = 44607^2 + 5871^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69757 + ... + 94416.

Almost surely, 22024253090 is an apocalyptic number.

2024253090 is an abundant number, since it is smaller than the sum of its proper divisors (3277253718).

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

2024253090 is a wasteful number, since it uses less digits than its factorization.

2024253090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164323 (or 164320 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2024253090 is about 44991.7002345988. The cubic root of 2024253090 is about 1264.9934310980.

Adding to 2024253090 its reverse (903524202), we get a palindrome (2927777292).

The spelling of 2024253090 in words is "two billion, twenty-four million, two hundred fifty-three thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 137 274 411 685 822 1233 1370 2055 2466 4110 6165 12330 164173 328346 492519 820865 985038 1477557 1641730 2462595 2955114 4925190 7387785 14775570 22491701 44983402 67475103 112458505 134950206 202425309 224917010 337375515 404850618 674751030 1012126545 2024253090