Search a number
-
+
102600020 = 2255130001
BaseRepresentation
bin1100001110110…
…00110101010100
321011001121202202
412013120311110
5202231200040
614103024032
72354041265
oct607306524
9234047682
10102600020
1152a07a06
122a43b018
1318344093
14d8aa96c
15901a015
hex61d8d54

102600020 has 12 divisors (see below), whose sum is σ = 215460084. Its totient is φ = 41040000.

The previous prime is 102600011. The next prime is 102600023. The reversal of 102600020 is 20006201.

It can be written as a sum of positive squares in 2 ways, for example, as 63712324 + 38887696 = 7982^2 + 6236^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102599974 and 102600010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102600023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2564981 + ... + 2565020.

It is an arithmetic number, because the mean of its divisors is an integer number (17955007).

Almost surely, 2102600020 is an apocalyptic number.

102600020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102600020 is an abundant number, since it is smaller than the sum of its proper divisors (112860064).

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

102600020 is a wasteful number, since it uses less digits than its factorization.

102600020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5130010 (or 5130008 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 102600020 is about 10129.1667969286. The cubic root of 102600020 is about 468.1472556313.

Adding to 102600020 its reverse (20006201), we get a palindrome (122606221).

The spelling of 102600020 in words is "one hundred two million, six hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 5130001 10260002 20520004 25650005 51300010 102600020