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5355020 = 22511101241
BaseRepresentation
bin10100011011011000001100
3101002001201002
4110123120030
52332330040
6310435432
763342206
oct24333014
911061632
105355020
113028340
121962b78
131156568
149d5776
1570ba15
hex51b60c

5355020 has 48 divisors (see below), whose sum is σ = 12440736. Its totient is φ = 1920000.

The previous prime is 5355019. The next prime is 5355023. The reversal of 5355020 is 205535.

It is a Smith number, since the sum of its digits (20) 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 5354983 and 5355001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5355023) 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, 22100 + ... + 22340.

It is an arithmetic number, because the mean of its divisors is an integer number (259182).

Almost surely, 25355020 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 5355020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6220368).

5355020 is an abundant number, since it is smaller than the sum of its proper divisors (7085716).

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

5355020 is a wasteful number, since it uses less digits than its factorization.

5355020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 20.

The square root of 5355020 is about 2314.0916144353. The cubic root of 5355020 is about 174.9525857943.

It can be divided in two parts, 535 and 5020, that added together give a palindrome (5555).

The spelling of 5355020 in words is "five million, three hundred fifty-five thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 241 404 482 505 964 1010 1111 1205 2020 2222 2410 2651 4444 4820 5302 5555 10604 11110 13255 22220 24341 26510 48682 53020 97364 121705 243410 267751 486820 535502 1071004 1338755 2677510 5355020