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6874632 = 23341032
BaseRepresentation
bin11010001110011000001000
3110221021020000
4122032120020
53224442012
6403203000
7112301442
oct32163010
913837200
106874632
113976016
122376460
13156913b
14cad492
1590bddc
hex68e608

6874632 has 60 divisors (see below), whose sum is σ = 19444095. Its totient is φ = 2269296.

The previous prime is 6874619. The next prime is 6874633. The reversal of 6874632 is 2364786.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 3437316 + 3437316 = 1854^2 + 1854^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1854.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 67 + 8 + 7 + 45 + 68 + 314 + 217 .

Its product of digits (48384) is a multiple of the sum of its prime divisors (108).

It is not an unprimeable number, because it can be changed into a prime (6874633) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 66693 + ... + 66795.

Almost surely, 26874632 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 6874632

6874632 is an abundant number, since it is smaller than the sum of its proper divisors (12569463).

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

6874632 is a wasteful number, since it uses less digits than its factorization.

6874632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 108 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 6874632 is about 2621.9519446397. The cubic root of 6874632 is about 190.1442302830.

The spelling of 6874632 in words is "six million, eight hundred seventy-four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 103 108 162 206 216 309 324 412 618 648 824 927 1236 1854 2472 2781 3708 5562 7416 8343 10609 11124 16686 21218 22248 31827 33372 42436 63654 66744 84872 95481 127308 190962 254616 286443 381924 572886 763848 859329 1145772 1718658 2291544 3437316 6874632