Search a number
-
+
2516412260 = 225618324851
BaseRepresentation
bin1001010111111101…
…0110011101100100
320111101001222200002
42111333112131210
520123200143020
61053411240432
7116234102615
oct22577263544
96441058602
102516412260
1110814a385a
125a28a9118
1331145784b
1419c2c3c0c
15eadbd975
hex95fd6764

2516412260 has 48 divisors (see below), whose sum is σ = 5436027072. Its totient is φ = 978096000.

The previous prime is 2516412257. The next prime is 2516412263. The reversal of 2516412260 is 622146152.

It is an interprime number because it is at equal distance from previous prime (2516412257) and next prime (2516412263).

It is not an unprimeable number, because it can be changed into a prime (2516412263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88835 + ... + 113685.

It is an arithmetic number, because the mean of its divisors is an integer number (113250564).

Almost surely, 22516412260 is an apocalyptic number.

2516412260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2516412260 is an abundant number, since it is smaller than the sum of its proper divisors (2919614812).

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

2516412260 is a wasteful number, since it uses less digits than its factorization.

2516412260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25004 (or 25002 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 2516412260 is about 50163.8541182792. The cubic root of 2516412260 is about 1360.1723145275.

The spelling of 2516412260 in words is "two billion, five hundred sixteen million, four hundred twelve thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 61 83 122 166 244 305 332 415 610 830 1220 1660 5063 10126 20252 24851 25315 49702 50630 99404 101260 124255 248510 497020 1515911 2062633 3031822 4125266 6063644 7579555 8250532 10313165 15159110 20626330 30318220 41252660 125820613 251641226 503282452 629103065 1258206130 2516412260