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5262920 = 2351329349
BaseRepresentation
bin10100000100111001001000
3100220101100222
4110010321020
52321403140
6304445212
762506535
oct24047110
910811328
105262920
112a75123
121919808
131123670
149add8c
156de5b5
hex504e48

5262920 has 64 divisors (see below), whose sum is σ = 13230000. Its totient is φ = 1870848.

The previous prime is 5262871. The next prime is 5262923. The reversal of 5262920 is 292625.

5262920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1943236 + 3319684 = 1394^2 + 1822^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 5262920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5262923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14906 + ... + 15254.

Almost surely, 25262920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5262920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6615000).

5262920 is an abundant number, since it is smaller than the sum of its proper divisors (7967080).

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

5262920 is a wasteful number, since it uses less digits than its factorization.

5262920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 5262920 is about 2294.1054901639. The cubic root of 5262920 is about 173.9437877169.

The spelling of 5262920 in words is "five million, two hundred sixty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 65 104 116 130 145 232 260 290 349 377 520 580 698 754 1160 1396 1508 1745 1885 2792 3016 3490 3770 4537 6980 7540 9074 10121 13960 15080 18148 20242 22685 36296 40484 45370 50605 80968 90740 101210 131573 181480 202420 263146 404840 526292 657865 1052584 1315730 2631460 5262920