Search a number
-
+
56400102 = 23211443643
BaseRepresentation
bin1101011100100…
…1100011100110
310221010102101200
43113021203212
5103414300402
65332503330
71253251533
oct327114346
9127112350
1056400102
1129922260
1216a7ab46
13b8b9555
1476c1d8a
154e4121c
hex35c98e6

56400102 has 48 divisors (see below), whose sum is σ = 133818048. Its totient is φ = 17025840.

The previous prime is 56400079. The next prime is 56400103. The reversal of 56400102 is 20100465.

It is a happy number.

56400102 is a `hidden beast` number, since 564 + 0 + 0 + 102 = 666.

It is a super-2 number, since 2×564001022 = 6361943011220808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56400103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87393 + ... + 88035.

It is an arithmetic number, because the mean of its divisors is an integer number (2787876).

Almost surely, 256400102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56400102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66909024).

56400102 is an abundant number, since it is smaller than the sum of its proper divisors (77417946).

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

56400102 is a wasteful number, since it uses less digits than its factorization.

56400102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 56400102 is about 7510.0001331558. Note that the first 3 decimals coincide. The cubic root of 56400102 is about 383.4952270597.

Adding to 56400102 its reverse (20100465), we get a palindrome (76500567).

The spelling of 56400102 in words is "fifty-six million, four hundred thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 443 643 886 1286 1329 1929 2658 3858 3987 4873 5787 7073 7974 9746 11574 14146 14619 21219 29238 42438 43857 63657 87714 127314 284849 569698 854547 1709094 2563641 3133339 5127282 6266678 9400017 18800034 28200051 56400102