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5319135 = 33531241
BaseRepresentation
bin10100010010100111011111
3101000020111000
4110102213133
52330203020
6310001343
763132453
oct24224737
911006430
105319135
113003388
121946253
131143123
149c6663
15701090
hex5129df

5319135 has 48 divisors (see below), whose sum is σ = 10009440. Its totient is φ = 2678400.

The previous prime is 5319121. The next prime is 5319161.

5319135 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5319135 - 27 = 5319007 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 5319099 and 5319108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129715 + ... + 129755.

It is an arithmetic number, because the mean of its divisors is an integer number (208530).

Almost surely, 25319135 is an apocalyptic number.

5319135 is a deficient number, since it is larger than the sum of its proper divisors (4690305).

5319135 is a wasteful number, since it uses less digits than its factorization.

5319135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 80 counting only the distinct ones).

The product of its digits is 2025, while the sum is 27.

The square root of 5319135 is about 2306.3249987805. The cubic root of 5319135 is about 174.5609128266.

The spelling of 5319135 in words is "five million, three hundred nineteen thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 27 31 41 45 93 123 135 155 205 279 369 465 615 837 961 1107 1271 1395 1845 2883 3813 4185 4805 5535 6355 8649 11439 14415 19065 25947 34317 39401 43245 57195 118203 129735 171585 197005 354609 591015 1063827 1773045 5319135