Search a number
-
+
13860689920 = 211571117579
BaseRepresentation
bin11001110100010100…
…10101100000000000
31022202222100000001221
430322022111200000
5211341314034140
610211214404424
71000323630460
oct147212254000
938688300057
1013860689920
115972aa8540
122829b00714
1313cb7b388c
14956bb1ba0
15561cb614a
hex33a295800

13860689920 has 192 divisors, whose sum is σ = 41466297600. Its totient is φ = 4319969280.

The previous prime is 13860689911. The next prime is 13860689929. The reversal of 13860689920 is 2998606831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13860689911) and next prime (13860689929).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13860689929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 779691 + ... + 797269.

It is an arithmetic number, because the mean of its divisors is an integer number (215970300).

Almost surely, 213860689920 is an apocalyptic number.

13860689920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13860689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20733148800).

13860689920 is an abundant number, since it is smaller than the sum of its proper divisors (27605607680).

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

13860689920 is a wasteful number, since it uses less digits than its factorization.

13860689920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17624 (or 17604 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 52.

The spelling of 13860689920 in words is "thirteen billion, eight hundred sixty million, six hundred eighty-nine thousand, nine hundred twenty".