Search a number
-
+
20969136 = 2432223653
BaseRepresentation
bin100111111111…
…1011010110000
31110110100020200
41033333122300
520332003021
62025235200
7343143336
oct117773260
943410220
1020969136
1110922471
127032b00
134462596
142adbb56
151c93126
hex13ff6b0

20969136 has 60 divisors (see below), whose sum is σ = 59037888. Its totient is φ = 6947712.

The previous prime is 20969129. The next prime is 20969147. The reversal of 20969136 is 63196902.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20969136.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31786 + ... + 32438.

Almost surely, 220969136 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 20969136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29518944).

20969136 is an abundant number, since it is smaller than the sum of its proper divisors (38068752).

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

20969136 is a wasteful number, since it uses less digits than its factorization.

20969136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 20969136 is about 4579.2069182338. The cubic root of 20969136 is about 275.7571903588.

The spelling of 20969136 in words is "twenty million, nine hundred sixty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 223 446 653 669 892 1306 1338 1784 1959 2007 2612 2676 3568 3918 4014 5224 5352 5877 7836 8028 10448 10704 11754 15672 16056 23508 31344 32112 47016 94032 145619 291238 436857 582476 873714 1164952 1310571 1747428 2329904 2621142 3494856 5242284 6989712 10484568 20969136