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5304640 = 265112137
BaseRepresentation
bin10100001111000101000000
3100222111121011
4110033011000
52324222030
6305410304
763042265
oct24170500
910874534
105304640
112aa3500
121939994
131139653
149c126c
156ebb2a
hex50f140

5304640 has 84 divisors (see below), whose sum is σ = 13985748. Its totient is φ = 1914880.

The previous prime is 5304617. The next prime is 5304641. The reversal of 5304640 is 464035.

It can be written as a sum of positive squares in 2 ways, for example, as 2509056 + 2795584 = 1584^2 + 1672^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5304641) 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, 38652 + ... + 38788.

It is an arithmetic number, because the mean of its divisors is an integer number (166497).

Almost surely, 25304640 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 5304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6992874).

5304640 is an abundant number, since it is smaller than the sum of its proper divisors (8681108).

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

5304640 is a wasteful number, since it uses less digits than its factorization.

5304640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 5304640 is about 2303.1804097812. The cubic root of 5304640 is about 174.4022051737.

Adding to 5304640 its reverse (464035), we get a palindrome (5768675).

The spelling of 5304640 in words is "five million, three hundred four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 137 160 176 220 242 274 320 352 440 484 548 605 685 704 880 968 1096 1210 1370 1507 1760 1936 2192 2420 2740 3014 3520 3872 4384 4840 5480 6028 7535 7744 8768 9680 10960 12056 15070 16577 19360 21920 24112 30140 33154 38720 43840 48224 60280 66308 82885 96448 120560 132616 165770 241120 265232 331540 482240 530464 663080 1060928 1326160 2652320 5304640