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1353009 = 37193391
BaseRepresentation
bin101001010010100110001
32112201222110
411022110301
5321244014
644555533
714333430
oct5122461
92481873
101353009
11844599
12552ba9
13384ac8
14273117
151bad59
hex14a531

1353009 has 16 divisors (see below), whose sum is σ = 2170880. Its totient is φ = 732240.

The previous prime is 1353007. The next prime is 1353019. The reversal of 1353009 is 9003531.

It is not a de Polignac number, because 1353009 - 21 = 1353007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

1353009 is a lucky number.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (1353007) 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, 1297 + ... + 2094.

It is an arithmetic number, because the mean of its divisors is an integer number (135680).

21353009 is an apocalyptic number.

1353009 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1353009 is a deficient number, since it is larger than the sum of its proper divisors (817871).

1353009 is a wasteful number, since it uses less digits than its factorization.

1353009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3420.

The product of its (nonzero) digits is 405, while the sum is 21.

The square root of 1353009 is about 1163.1891505684. The cubic root of 1353009 is about 110.6029969965.

The spelling of 1353009 in words is "one million, three hundred fifty-three thousand, nine".

Divisors: 1 3 7 19 21 57 133 399 3391 10173 23737 64429 71211 193287 451003 1353009