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20130669 = 32131729349
BaseRepresentation
bin100110011001…
…0101101101101
31101212202002100
41030302231231
520123140134
61555245313
7333051666
oct114625555
941782070
1020130669
11103aa519
1268a9839
13422aa50
14296036d
151b79999
hex1332b6d

20130669 has 48 divisors (see below), whose sum is σ = 34398000. Its totient is φ = 11225088.

The previous prime is 20130653. The next prime is 20130683. The reversal of 20130669 is 96603102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 149769 + 19980900 = 387^2 + 4470^2 .

It is not a de Polignac number, because 20130669 - 24 = 20130653 is a prime.

It is a super-2 number, since 2×201306692 = 810487668775122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20130169) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57507 + ... + 57855.

It is an arithmetic number, because the mean of its divisors is an integer number (716625).

Almost surely, 220130669 is an apocalyptic number.

20130669 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

20130669 is a deficient number, since it is larger than the sum of its proper divisors (14267331).

20130669 is a wasteful number, since it uses less digits than its factorization.

20130669 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 20130669 is about 4486.7214087795. The cubic root of 20130669 is about 272.0316292876.

The spelling of 20130669 in words is "twenty million, one hundred thirty thousand, six hundred sixty-nine".

Divisors: 1 3 9 13 17 29 39 51 87 117 153 221 261 349 377 493 663 1047 1131 1479 1989 3141 3393 4437 4537 5933 6409 10121 13611 17799 19227 30363 40833 53397 57681 77129 91089 131573 172057 231387 394719 516171 694161 1184157 1548513 2236741 6710223 20130669