Search a number
-
+
16264053 = 3213217237
BaseRepresentation
bin111110000010…
…101101110101
31010121022002100
4332002231311
513130422203
61340332313
7255146031
oct76025565
933538070
1016264053
1191a9473
125544099
1334a5b00
1422351c1
151663ea3
hexf82b75

16264053 has 54 divisors (see below), whose sum is σ = 27753414. Its totient is φ = 9165312.

The previous prime is 16264051. The next prime is 16264063. The reversal of 16264053 is 35046261.

16264053 is a `hidden beast` number, since 16 + 2 + 640 + 5 + 3 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 1077444 + 15186609 = 1038^2 + 3897^2 .

It is not a de Polignac number, because 16264053 - 21 = 16264051 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16264051) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 439551 + ... + 439587.

Almost surely, 216264053 is an apocalyptic number.

16264053 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

16264053 is a deficient number, since it is larger than the sum of its proper divisors (11489361).

16264053 is a wasteful number, since it uses less digits than its factorization.

16264053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 16264053 is about 4032.8715575877. The cubic root of 16264053 is about 253.3628449384.

The spelling of 16264053 in words is "sixteen million, two hundred sixty-four thousand, fifty-three".

Divisors: 1 3 9 13 17 37 39 51 111 117 153 169 221 289 333 481 507 629 663 867 1443 1521 1887 1989 2601 2873 3757 4329 5661 6253 8177 8619 10693 11271 18759 24531 25857 32079 33813 48841 56277 73593 96237 106301 139009 146523 318903 417027 439569 956709 1251081 1807117 5421351 16264053