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6425136 = 2433107139
BaseRepresentation
bin11000100000101000110000
3110002102122000
4120200220300
53121101021
6345414000
7105420114
oct30405060
913072560
106425136
113699333
12219a300
13143c673
14bd3744
1586db26
hex620a30

6425136 has 80 divisors (see below), whose sum is σ = 18748800. Its totient is φ = 2106432.

The previous prime is 6425117. The next prime is 6425143. The reversal of 6425136 is 6315246.

6425136 is a `hidden beast` number, since 642 + 5 + 13 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46155 + ... + 46293.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

Almost surely, 26425136 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 6425136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9374400).

6425136 is an abundant number, since it is smaller than the sum of its proper divisors (12323664).

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

6425136 is a wasteful number, since it uses less digits than its factorization.

6425136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 251 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 6425136 is about 2534.7851980000. The cubic root of 6425136 is about 185.9063003603.

It can be divided in two parts, 6425 and 136, that added together give a 8-th power (6561 = 38).

The spelling of 6425136 in words is "six million, four hundred twenty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 107 108 139 144 214 216 278 321 417 428 432 556 642 834 856 963 1112 1251 1284 1668 1712 1926 2224 2502 2568 2889 3336 3753 3852 5004 5136 5778 6672 7506 7704 10008 11556 14873 15012 15408 20016 23112 29746 30024 44619 46224 59492 60048 89238 118984 133857 178476 237968 267714 356952 401571 535428 713904 803142 1070856 1606284 2141712 3212568 6425136