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5782040 = 2351117773
BaseRepresentation
bin10110000011101000011000
3101212202110122
4112003220120
52440011130
6323532412
7100101155
oct26035030
911782418
105782040
11329a150
121b2a108
131275a34
14aa722c
157932e5
hex583a18

5782040 has 64 divisors (see below), whose sum is σ = 15046560. Its totient is φ = 1976320.

The previous prime is 5782037. The next prime is 5782043. The reversal of 5782040 is 402875.

It is an interprime number because it is at equal distance from previous prime (5782037) and next prime (5782043).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5782043) 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, 7094 + ... + 7866.

Almost surely, 25782040 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 5782040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7523280).

5782040 is an abundant number, since it is smaller than the sum of its proper divisors (9264520).

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

5782040 is a wasteful number, since it uses less digits than its factorization.

5782040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 5782040 is about 2404.5872826745. The cubic root of 5782040 is about 179.4845334967.

The spelling of 5782040 in words is "five million, seven hundred eighty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 773 935 1496 1546 1870 3092 3740 3865 6184 7480 7730 8503 13141 15460 17006 26282 30920 34012 42515 52564 65705 68024 85030 105128 131410 144551 170060 262820 289102 340120 525640 578204 722755 1156408 1445510 2891020 5782040