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6428520 = 2332572551
BaseRepresentation
bin11000100001011101101000
3110002121021100
4120201131220
53121203040
6345441400
7105433020
oct30413550
913077240
106428520
1136a092a
1221a0260
131441077
14bd4a80
1586eb30
hex621768

6428520 has 96 divisors (see below), whose sum is σ = 23886720. Its totient is φ = 1468800.

The previous prime is 6428489. The next prime is 6428551. The reversal of 6428520 is 258246.

It is an interprime number because it is at equal distance from previous prime (6428489) and next prime (6428551).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1245 + ... + 3795.

It is an arithmetic number, because the mean of its divisors is an integer number (248820).

Almost surely, 26428520 is an apocalyptic number.

6428520 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 6428520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11943360).

6428520 is an abundant number, since it is smaller than the sum of its proper divisors (17458200).

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

6428520 is a wasteful number, since it uses less digits than its factorization.

6428520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2575 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 6428520 is about 2535.4526223142. The cubic root of 6428520 is about 185.9389324325.

The spelling of 6428520 in words is "six million, four hundred twenty-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 2551 5102 7653 10204 12755 15306 17857 20408 22959 25510 30612 35714 38265 45918 51020 53571 61224 71428 76530 89285 91836 102040 107142 114795 142856 153060 160713 178570 183672 214284 229590 267855 306120 321426 357140 428568 459180 535710 642852 714280 803565 918360 1071420 1285704 1607130 2142840 3214260 6428520