Search a number
-
+
6428240 = 245713883
BaseRepresentation
bin11000100001011001010000
3110002120212222
4120201121100
53121200430
6345440212
7105432140
oct30413120
913076788
106428240
1136a06a5
1221a0068
131440bc0
14bd4920
1586e9e5
hex621650

6428240 has 80 divisors (see below), whose sum is σ = 18415488. Its totient is φ = 2032128.

The previous prime is 6428207. The next prime is 6428263. The reversal of 6428240 is 428246.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6839 + ... + 7721.

Almost surely, 26428240 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 6428240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9207744).

6428240 is an abundant number, since it is smaller than the sum of its proper divisors (11987248).

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

6428240 is a wasteful number, since it uses less digits than its factorization.

6428240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 6428240 is about 2535.3974047474. The cubic root of 6428240 is about 185.9362328139.

The spelling of 6428240 in words is "six million, four hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 883 910 1040 1456 1766 1820 3532 3640 4415 6181 7064 7280 8830 11479 12362 14128 17660 22958 24724 30905 35320 45916 49448 57395 61810 70640 80353 91832 98896 114790 123620 160706 183664 229580 247240 321412 401765 459160 494480 642824 803530 918320 1285648 1607060 3214120 6428240