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5406940 = 2257113511
BaseRepresentation
bin10100101000000011011100
3101011200221001
4110220003130
52341010230
6311520044
763646450
oct24500334
911150831
105406940
113063350
121989024
131174096
14a0a660
1571c0ca
hex5280dc

5406940 has 48 divisors (see below), whose sum is σ = 14160384. Its totient is φ = 1684800.

The previous prime is 5406931. The next prime is 5406941. The reversal of 5406940 is 496045.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 5406899 and 5406908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5406941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216 + ... + 3295.

It is an arithmetic number, because the mean of its divisors is an integer number (295008).

Almost surely, 25406940 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 5406940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7080192).

5406940 is an abundant number, since it is smaller than the sum of its proper divisors (8753444).

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

5406940 is a wasteful number, since it uses less digits than its factorization.

5406940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3538 (or 3536 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 5406940 is about 2325.2827785024. The cubic root of 5406940 is about 175.5161902040.

The spelling of 5406940 in words is "five million, four hundred six thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 3511 7022 14044 17555 24577 35110 38621 49154 70220 77242 98308 122885 154484 193105 245770 270347 386210 491540 540694 772420 1081388 1351735 2703470 5406940