Search a number
-
+
5316640 = 255747101
BaseRepresentation
bin10100010010000000100000
3101000010001121
4110102000200
52330113030
6305542024
763122260
oct24220040
911003047
105316640
11300151a
121944914
131141c54
149c57a0
1570047a
hex512020

5316640 has 96 divisors (see below), whose sum is σ = 14805504. Its totient is φ = 1766400.

The previous prime is 5316617. The next prime is 5316643. The reversal of 5316640 is 466135.

It is not an unprimeable number, because it can be changed into a prime (5316643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52590 + ... + 52690.

It is an arithmetic number, because the mean of its divisors is an integer number (154224).

Almost surely, 25316640 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 5316640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7402752).

5316640 is an abundant number, since it is smaller than the sum of its proper divisors (9488864).

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

5316640 is a wasteful number, since it uses less digits than its factorization.

5316640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 5316640 is about 2305.7840315173. The cubic root of 5316640 is about 174.5336153060.

It can be divided in two parts, 531 and 6640, that multiplied together give a triangular number (3525840 = T2655).

The spelling of 5316640 in words is "five million, three hundred sixteen thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 47 56 70 80 94 101 112 140 160 188 202 224 235 280 329 376 404 470 505 560 658 707 752 808 940 1010 1120 1316 1414 1504 1616 1645 1880 2020 2632 2828 3232 3290 3535 3760 4040 4747 5264 5656 6580 7070 7520 8080 9494 10528 11312 13160 14140 16160 18988 22624 23735 26320 28280 33229 37976 47470 52640 56560 66458 75952 94940 113120 132916 151904 166145 189880 265832 332290 379760 531664 664580 759520 1063328 1329160 2658320 5316640