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5356560 = 2435112029
BaseRepresentation
bin10100011011110000010000
3101002010211010
4110123300100
52332402220
6310450520
763346536
oct24336020
911063733
105356560
113029510
121963a40
131157181
149d6156
1570c1e0
hex51bc10

5356560 has 80 divisors (see below), whose sum is σ = 18123840. Its totient is φ = 1297920.

The previous prime is 5356541. The next prime is 5356567. The reversal of 5356560 is 656535.

It is a tau number, because it is divible by the number of its divisors (80).

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 (5356567) 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, 1626 + ... + 3654.

It is an arithmetic number, because the mean of its divisors is an integer number (226548).

Almost surely, 25356560 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 5356560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9061920).

5356560 is an abundant number, since it is smaller than the sum of its proper divisors (12767280).

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

5356560 is a wasteful number, since it uses less digits than its factorization.

5356560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The square root of 5356560 is about 2314.4243344728. The cubic root of 5356560 is about 174.9693551782.

The spelling of 5356560 in words is "five million, three hundred fifty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2029 2640 4058 6087 8116 10145 12174 16232 20290 22319 24348 30435 32464 40580 44638 48696 60870 66957 81160 89276 97392 111595 121740 133914 162320 178552 223190 243480 267828 334785 357104 446380 486960 535656 669570 892760 1071312 1339140 1785520 2678280 5356560