Search a number
-
+
20537964 = 2232570499
BaseRepresentation
bin100111001011…
…0001001101100
31102122102210100
41032112021230
520224203324
62012111100
7336366306
oct116261154
942572710
1020537964
1110658527
126a65490
134341255
142a28976
151c0a4c9
hex139626c

20537964 has 18 divisors (see below), whose sum is σ = 51915500. Its totient is φ = 6845976.

The previous prime is 20537953. The next prime is 20537969. The reversal of 20537964 is 46973502.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 570499 = 20537964 / (2 + 0 + 5 + 3 + 7 + 9 + 6 + 4).

It is not an unprimeable number, because it can be changed into a prime (20537969) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 285214 + ... + 285285.

Almost surely, 220537964 is an apocalyptic number.

It is an amenable number.

20537964 is an abundant number, since it is smaller than the sum of its proper divisors (31377536).

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

20537964 is a wasteful number, since it uses less digits than its factorization.

20537964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570509 (or 570504 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 20537964 is about 4531.8830523305. The cubic root of 20537964 is about 273.8540256430.

It can be divided in two parts, 205379 and 64, that multiplied together give a cube (13144256 = 2363).

The spelling of 20537964 in words is "twenty million, five hundred thirty-seven thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 570499 1140998 1711497 2281996 3422994 5134491 6845988 10268982 20537964