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5513220 = 22325109281
BaseRepresentation
bin10101000010000000000100
3101101002201100
4111002000010
52402410340
6314100100
764601346
oct25020004
911332640
105513220
113126189
121a1a630
1311b057b
14a37296
1573d830
hex542004

5513220 has 72 divisors (see below), whose sum is σ = 16936920. Its totient is φ = 1451520.

The previous prime is 5513203. The next prime is 5513227. The reversal of 5513220 is 223155.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1327104 + 4186116 = 1152^2 + 2046^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5513193 and 5513202.

It is not an unprimeable number, because it can be changed into a prime (5513227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19480 + ... + 19760.

It is an arithmetic number, because the mean of its divisors is an integer number (235235).

Almost surely, 25513220 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 5513220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8468460).

5513220 is an abundant number, since it is smaller than the sum of its proper divisors (11423700).

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

5513220 is a wasteful number, since it uses less digits than its factorization.

5513220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5513220 is about 2348.0247017440. The cubic root of 5513220 is about 176.6587314976.

Adding to 5513220 its reverse (223155), we get a palindrome (5736375).

The spelling of 5513220 in words is "five million, five hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 109 180 218 281 327 436 545 562 654 843 981 1090 1124 1308 1405 1635 1686 1962 2180 2529 2810 3270 3372 3924 4215 4905 5058 5620 6540 8430 9810 10116 12645 16860 19620 25290 30629 50580 61258 91887 122516 153145 183774 275661 306290 367548 459435 551322 612580 918870 1102644 1378305 1837740 2756610 5513220