Search a number
-
+
1353690 = 232513289
BaseRepresentation
bin101001010011111011010
32112202220200
411022133122
5321304230
645003030
714335422
oct5123732
92482820
101353690
11845058
12553476
13385200
14273482
151bb160
hex14a7da

1353690 has 72 divisors (see below), whose sum is σ = 3853980. Its totient is φ = 329472.

The previous prime is 1353689. The next prime is 1353701. The reversal of 1353690 is 963531.

It can be written as a sum of positive squares in 6 ways, for example, as 33489 + 1320201 = 183^2 + 1149^2 .

It is a super-2 number, since 2×13536902 = 3664953232200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15166 + ... + 15254.

21353690 is an apocalyptic number.

1353690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926990).

1353690 is an abundant number, since it is smaller than the sum of its proper divisors (2500290).

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

1353690 is a wasteful number, since it uses less digits than its factorization.

1353690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 1353690 is about 1163.4818434338. The cubic root of 1353690 is about 110.6215502132.

The spelling of 1353690 in words is "one million, three hundred fifty-three thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 89 90 117 130 169 178 195 234 267 338 390 445 507 534 585 801 845 890 1014 1157 1170 1335 1521 1602 1690 2314 2535 2670 3042 3471 4005 5070 5785 6942 7605 8010 10413 11570 15041 15210 17355 20826 30082 34710 45123 52065 75205 90246 104130 135369 150410 225615 270738 451230 676845 1353690