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5468520 = 2335199229
BaseRepresentation
bin10100110111000101101000
3101021211101210
4110313011220
52344443040
6313113120
764324131
oct24670550
911254353
105468520
1130a5642
1219b87a0
131196115
14a24c88
15730480
hex537168

5468520 has 64 divisors (see below), whose sum is σ = 16560000. Its totient is φ = 1444608.

The previous prime is 5468513. The next prime is 5468527. The reversal of 5468520 is 258645.

It is an interprime number because it is at equal distance from previous prime (5468513) and next prime (5468527).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5468527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23766 + ... + 23994.

It is an arithmetic number, because the mean of its divisors is an integer number (258750).

Almost surely, 25468520 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 5468520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8280000).

5468520 is an abundant number, since it is smaller than the sum of its proper divisors (11091480).

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

5468520 is a wasteful number, since it uses less digits than its factorization.

5468520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 5468520 is about 2338.4866901481. The cubic root of 5468520 is about 176.1799983566.

The spelling of 5468520 in words is "five million, four hundred sixty-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 199 229 398 458 597 687 796 916 995 1145 1194 1374 1592 1832 1990 2290 2388 2748 2985 3435 3980 4580 4776 5496 5970 6870 7960 9160 11940 13740 23880 27480 45571 91142 136713 182284 227855 273426 364568 455710 546852 683565 911420 1093704 1367130 1822840 2734260 5468520