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5064320 = 27541193
BaseRepresentation
bin10011010100011010000000
3100112021221102
4103110122000
52244024240
6300313532
761021532
oct23243200
910467842
105064320
112949998
1218428a8
131084151
1495b852
156a0815
hex4d4680

5064320 has 64 divisors (see below), whose sum is σ = 12466440. Its totient is φ = 1966080.

The previous prime is 5064307. The next prime is 5064331. The reversal of 5064320 is 234605.

It can be written as a sum of positive squares in 4 ways, for example, as 2050624 + 3013696 = 1432^2 + 1736^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5064292 and 5064301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26144 + ... + 26336.

Almost surely, 25064320 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 5064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6233220).

5064320 is an abundant number, since it is smaller than the sum of its proper divisors (7402120).

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

5064320 is a wasteful number, since it uses less digits than its factorization.

5064320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 5064320 is about 2250.4044081009. The cubic root of 5064320 is about 171.7277105095.

Adding to 5064320 its reverse (234605), we get a palindrome (5298925).

The spelling of 5064320 in words is "five million, sixty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 193 205 320 328 386 410 640 656 772 820 965 1312 1544 1640 1930 2624 3088 3280 3860 5248 6176 6560 7720 7913 12352 13120 15440 15826 24704 26240 30880 31652 39565 61760 63304 79130 123520 126608 158260 253216 316520 506432 633040 1012864 1266080 2532160 5064320