Search a number
-
+
20130964 = 2272271379
BaseRepresentation
bin100110011001…
…0110010010100
31101212202111021
41030302302110
520123142324
61555250524
7333052600
oct114626224
941782437
1020130964
11103aa767
1268a9a44
13422ac19
142960500
151b79ae4
hex1332c94

20130964 has 36 divisors (see below), whose sum is σ = 41240640. Its totient is φ = 8573040.

The previous prime is 20130961. The next prime is 20130983. The reversal of 20130964 is 46903102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20130961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52927 + ... + 53305.

Almost surely, 220130964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20130964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20620320).

20130964 is an abundant number, since it is smaller than the sum of its proper divisors (21109676).

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

20130964 is a wasteful number, since it uses less digits than its factorization.

20130964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 20130964 is about 4486.7542834437. The cubic root of 20130964 is about 272.0329580882.

The spelling of 20130964 in words is "twenty million, one hundred thirty thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 196 271 379 542 758 1084 1516 1897 2653 3794 5306 7588 10612 13279 18571 26558 37142 53116 74284 102709 205418 410836 718963 1437926 2875852 5032741 10065482 20130964