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5360436 = 2232612441
BaseRepresentation
bin10100011100101100110100
3101002100010200
4110130230310
52333013221
6310520500
763364044
oct24345464
911070120
105360436
113031414
121966130
131158b73
149d7724
1570d426
hex51cb34

5360436 has 36 divisors (see below), whose sum is σ = 13777764. Its totient is φ = 1756800.

The previous prime is 5360431. The next prime is 5360437. The reversal of 5360436 is 6340635.

5360436 is a `hidden beast` number, since 53 + 604 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 324900 + 5035536 = 570^2 + 2244^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×53604362 = 57468548220192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5360431) 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 11 ways as a sum of consecutive naturals, for example, 976 + ... + 3416.

Almost surely, 25360436 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 5360436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6888882).

5360436 is an abundant number, since it is smaller than the sum of its proper divisors (8417328).

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

5360436 is a wasteful number, since it uses less digits than its factorization.

5360436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 5360436 is about 2315.2615403017. The cubic root of 5360436 is about 175.0115475373.

The spelling of 5360436 in words is "five million, three hundred sixty thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 2441 4882 7323 9764 14646 21969 29292 43938 87876 148901 297802 446703 595604 893406 1340109 1786812 2680218 5360436