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5355420 = 2235741311
BaseRepresentation
bin10100011011011110011100
3101002002020220
4110123132130
52332333140
6310441340
763343320
oct24333634
911062226
105355420
113028674
121963250
1311567b5
149d5980
1570bbd0
hex51b79c

5355420 has 96 divisors (see below), whose sum is σ = 17611776. Its totient is φ = 1190400.

The previous prime is 5355419. The next prime is 5355421. The reversal of 5355420 is 245535.

It is an interprime number because it is at equal distance from previous prime (5355419) and next prime (5355421).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5355421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17065 + ... + 17375.

It is an arithmetic number, because the mean of its divisors is an integer number (183456).

Almost surely, 25355420 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 5355420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8805888).

5355420 is an abundant number, since it is smaller than the sum of its proper divisors (12256356).

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

5355420 is a wasteful number, since it uses less digits than its factorization.

5355420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 5355420 is about 2314.1780398232. The cubic root of 5355420 is about 174.9569417875.

It can be divided in two parts, 5355 and 420, that added together give a palindrome (5775).

The spelling of 5355420 in words is "five million, three hundred fifty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 41 42 60 70 82 84 105 123 140 164 205 210 246 287 311 410 420 492 574 615 622 820 861 933 1148 1230 1244 1435 1555 1722 1866 2177 2460 2870 3110 3444 3732 4305 4354 4665 5740 6220 6531 8610 8708 9330 10885 12751 13062 17220 18660 21770 25502 26124 32655 38253 43540 51004 63755 65310 76506 89257 127510 130620 153012 178514 191265 255020 267771 357028 382530 446285 535542 765060 892570 1071084 1338855 1785140 2677710 5355420