Search a number
1357531 = 71959173
BaseRepresentation
bin101001011011011011011
32112222011221
411023123123
5321420111
645032511
714352550
oct5133333
92488157
101357531
11847a2a
12555737
13386b96
14274a27
151bc371
hex14b6db

1357531 has 16 divisors (see below), whose sum is σ = 1670400. Its totient is φ = 1077408.

The previous prime is 1357513. The next prime is 1357537.

1357531 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1357531 - 211 = 1355483 is a prime.

It is a super-2 number, since 2×13575312 = 3685780831922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1357496 and 1357505.

It is not an unprimeable number, because it can be changed into a prime (1357537) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7761 + ... + 7933.

It is an arithmetic number, because the mean of its divisors is an integer number (104400).

21357531 is an apocalyptic number.

1357531 is a deficient number, since it is larger than the sum of its proper divisors (312869).

1357531 is a wasteful number, since it uses less digits than its factorization.

1357531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258.

The product of its digits is 1575, while the sum is 25.

The square root of 1357531 is about 1165.1313230705. The cubic root of 1357531 is about 110.7260783633.

The spelling of 1357531 in words is "one million, three hundred fifty-seven thousand, five hundred thirty-one".