Search a number
-
+
1386564100 = 225213865641
BaseRepresentation
bin101001010100101…
…0100101000000100
310120122001202100221
41102221110220010
510314430022400
6345330514124
746234412635
oct12251245004
93518052327
101386564100
11651752149
12328435944
1319135603c
14d221588c
1581addc1a
hex52a54a04

1386564100 has 18 divisors (see below), whose sum is σ = 3008844314. Its totient is φ = 554625600.

The previous prime is 1386564097. The next prime is 1386564107. The reversal of 1386564100 is 14656831.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 39967684 + 1346596416 = 6322^2 + 36696^2 .

It is not an unprimeable number, because it can be changed into a prime (1386564107) 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 5 ways as a sum of consecutive naturals, for example, 6932721 + ... + 6932920.

Almost surely, 21386564100 is an apocalyptic number.

1386564100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1386564100 is an abundant number, since it is smaller than the sum of its proper divisors (1622280214).

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

1386564100 is a wasteful number, since it uses less digits than its factorization.

1386564100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13865655 (or 13865648 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 1386564100 is about 37236.5962461662. The cubic root of 1386564100 is about 1115.0987197008.

The spelling of 1386564100 in words is "one billion, three hundred eighty-six million, five hundred sixty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 13865641 27731282 55462564 69328205 138656410 277312820 346641025 693282050 1386564100