Search a number
-
+
10000092820 = 2251014950541
BaseRepresentation
bin10010101000000110…
…10100111010010100
3221210220221100110011
421110003110322110
5130440010432240
64332144410004
7502545246364
oct112403247224
927726840404
1010000092820
114271878823
121b31016904
13c34a207b3
146ac1889a4
153d7dca6ea
hex2540d4e94

10000092820 has 24 divisors (see below), whose sum is σ = 21208121928. Its totient is φ = 3960432000.

The previous prime is 10000092803. The next prime is 10000092847. The reversal of 10000092820 is 2829000001.

It can be written as a sum of positive squares in 4 ways, for example, as 5184288004 + 4815804816 = 72002^2 + 69396^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10000092791 and 10000092800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2473251 + ... + 2477290.

It is an arithmetic number, because the mean of its divisors is an integer number (883671747).

Almost surely, 210000092820 is an apocalyptic number.

10000092820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000092820 is an abundant number, since it is smaller than the sum of its proper divisors (11208029108).

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

10000092820 is a wasteful number, since it uses less digits than its factorization.

10000092820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4950651 (or 4950649 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 10000092820 its reverse (2829000001), we get a palindrome (12829092821).

The spelling of 10000092820 in words is "ten billion, ninety-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 4950541 9901082 19802164 24752705 49505410 99010820 500004641 1000009282 2000018564 2500023205 5000046410 10000092820