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5743620 = 22325171877
BaseRepresentation
bin10101111010010000000100
3101210210202200
4111322100010
52432243440
6323034500
766551151
oct25722004
911723680
105743620
1132732a3
121b0ba30
1312613bc
14a97228
15786c30
hex57a404

5743620 has 72 divisors (see below), whose sum is σ = 18456984. Its totient is φ = 1440768.

The previous prime is 5743613. The next prime is 5743627. The reversal of 5743620 is 263475.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5743613) and next prime (5743627).

It can be written as a sum of positive squares in 4 ways, for example, as 1483524 + 4260096 = 1218^2 + 2064^2 .

It is not an unprimeable number, because it can be changed into a prime (5743627) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2122 + ... + 3998.

It is an arithmetic number, because the mean of its divisors is an integer number (256347).

Almost surely, 25743620 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 5743620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9228492).

5743620 is an abundant number, since it is smaller than the sum of its proper divisors (12713364).

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

5743620 is a wasteful number, since it uses less digits than its factorization.

5743620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 5743620 is about 2396.5850704701. The cubic root of 5743620 is about 179.0861086074.

The spelling of 5743620 in words is "five million, seven hundred forty-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 1877 3060 3754 5631 7508 9385 11262 16893 18770 22524 28155 31909 33786 37540 56310 63818 67572 84465 95727 112620 127636 159545 168930 191454 287181 319090 337860 382908 478635 574362 638180 957270 1148724 1435905 1914540 2871810 5743620