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6890408 = 237711733
BaseRepresentation
bin11010010010001110101000
3110222001212022
4122102032220
53230443113
6403404012
7112365440
oct32221650
913861768
106890408
113986958
122383608
131573385
14cb5120
15911908
hex6923a8

6890408 has 32 divisors (see below), whose sum is σ = 14981760. Its totient is φ = 2909760.

The previous prime is 6890353. The next prime is 6890413. The reversal of 6890408 is 8040986.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3110 + ... + 4842.

It is an arithmetic number, because the mean of its divisors is an integer number (468180).

Almost surely, 26890408 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 6890408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7490880).

6890408 is an abundant number, since it is smaller than the sum of its proper divisors (8091352).

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

6890408 is a wasteful number, since it uses less digits than its factorization.

6890408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 6890408 is about 2624.9586663412. The cubic root of 6890408 is about 190.2895676965.

The spelling of 6890408 in words is "six million, eight hundred ninety thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 28 56 71 142 284 497 568 994 1733 1988 3466 3976 6932 12131 13864 24262 48524 97048 123043 246086 492172 861301 984344 1722602 3445204 6890408