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5265920 = 29511217
BaseRepresentation
bin10100000101101000000000
3100220112111002
4110011220000
52322002140
6304511132
762521352
oct24055000
910815432
105265920
112a77400
12191b4a8
131124b3a
149b10d2
156e0415
hex505a00

5265920 has 120 divisors (see below), whose sum is σ = 14694372. Its totient is φ = 1802240.

The previous prime is 5265901. The next prime is 5265929. The reversal of 5265920 is 295625.

It can be written as a sum of positive squares in 2 ways, for example, as 5234944 + 30976 = 2288^2 + 176^2 .

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (5265929) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 309752 + ... + 309768.

Almost surely, 25265920 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 5265920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7347186).

5265920 is an abundant number, since it is smaller than the sum of its proper divisors (9428452).

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

5265920 is a wasteful number, since it uses less digits than its factorization.

5265920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 5265920 is about 2294.7592466313. The cubic root of 5265920 is about 173.9768322525.

It can be divided in two parts, 526 and 5920, that added together give a palindrome (6446).

The spelling of 5265920 in words is "five million, two hundred sixty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 64 68 80 85 88 110 121 128 136 160 170 176 187 220 242 256 272 320 340 352 374 440 484 512 544 605 640 680 704 748 880 935 968 1088 1210 1280 1360 1408 1496 1760 1870 1936 2057 2176 2420 2560 2720 2816 2992 3520 3740 3872 4114 4352 4840 5440 5632 5984 7040 7480 7744 8228 8704 9680 10285 10880 11968 14080 14960 15488 16456 19360 20570 21760 23936 28160 29920 30976 32912 38720 41140 43520 47872 59840 61952 65824 77440 82280 95744 119680 131648 154880 164560 239360 263296 309760 329120 478720 526592 658240 1053184 1316480 2632960 5265920