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5542920 = 2332589173
BaseRepresentation
bin10101001001010000001000
3101102121110100
4111021100020
52404333140
6314445400
765054055
oct25112010
911377410
105542920
113146529
121a33860
1311c0c46
14a4402c
15747530
hex549408

5542920 has 96 divisors (see below), whose sum is σ = 18322200. Its totient is φ = 1453056.

The previous prime is 5542909. The next prime is 5542937. The reversal of 5542920 is 292455.

It can be written as a sum of positive squares in 4 ways, for example, as 4743684 + 799236 = 2178^2 + 894^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31954 + ... + 32126.

Almost surely, 25542920 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 5542920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9161100).

5542920 is an abundant number, since it is smaller than the sum of its proper divisors (12779280).

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

5542920 is a wasteful number, since it uses less digits than its factorization.

5542920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5542920 is about 2354.3406720354. The cubic root of 5542920 is about 176.9753867910.

The spelling of 5542920 in words is "five million, five hundred forty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 89 90 120 173 178 180 267 346 356 360 445 519 534 692 712 801 865 890 1038 1068 1335 1384 1557 1602 1730 1780 2076 2136 2595 2670 3114 3204 3460 3560 4005 4152 5190 5340 6228 6408 6920 7785 8010 10380 10680 12456 15397 15570 16020 20760 30794 31140 32040 46191 61588 62280 76985 92382 123176 138573 153970 184764 230955 277146 307940 369528 461910 554292 615880 692865 923820 1108584 1385730 1847640 2771460 5542920