Search a number
-
+
6253440 = 27353257
BaseRepresentation
bin10111110110101110000000
3102202201002220
4113312232000
53100102230
6342011040
7104103414
oct27665600
912681086
106253440
113591336
122116a80
1313ac47b
14b8ad44
15837d10
hex5f6b80

6253440 has 64 divisors (see below), whose sum is σ = 19938960. Its totient is φ = 1667072.

The previous prime is 6253411. The next prime is 6253441. The reversal of 6253440 is 443526.

6253440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6253440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6253441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 292 + ... + 3548.

Almost surely, 26253440 is an apocalyptic number.

6253440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9969480).

6253440 is an abundant number, since it is smaller than the sum of its proper divisors (13685520).

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

6253440 is a wasteful number, since it uses less digits than its factorization.

6253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3279 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 6253440 is about 2500.6879053572. The cubic root of 6253440 is about 184.2353635826.

Subtracting from 6253440 its sum of digits (24), we obtain a triangular number (6253416 = T3536).

Adding to 6253440 its reverse (443526), we get a palindrome (6696966).

The spelling of 6253440 in words is "six million, two hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 3257 6514 9771 13028 16285 19542 26056 32570 39084 48855 52112 65140 78168 97710 104224 130280 156336 195420 208448 260560 312672 390840 416896 521120 625344 781680 1042240 1250688 1563360 2084480 3126720 6253440