Search a number
-
+
10692000020 = 22513163725121
BaseRepresentation
bin10011111010100101…
…01111100100010100
31000121010212212200202
421331102233210110
5133344123000040
64524542400032
7525646333502
oct117522574424
930533785622
1010692000020
11459739a959
1220a4890018
131015188440
14736017672
15428a00015
hex27d4af914

10692000020 has 48 divisors (see below), whose sum is σ = 24196103568. Its totient is φ = 3945246720.

The previous prime is 10692000013. The next prime is 10692000023. The reversal of 10692000020 is 2000029601.

It can be written as a sum of positive squares in 8 ways, for example, as 3353336464 + 7338663556 = 57908^2 + 85666^2 .

It is a super-2 number, since 2×106920000202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10691999956 and 10692000001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10692000023) 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, 413060 + ... + 438180.

It is an arithmetic number, because the mean of its divisors is an integer number (504085491).

Almost surely, 210692000020 is an apocalyptic number.

10692000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10692000020 is an abundant number, since it is smaller than the sum of its proper divisors (13504103548).

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

10692000020 is a wasteful number, since it uses less digits than its factorization.

10692000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26780 (or 26778 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 10692000020 its reverse (2000029601), we get a palindrome (12692029621).

The spelling of 10692000020 in words is "ten billion, six hundred ninety-two million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1637 3274 6548 8185 16370 21281 25121 32740 42562 50242 85124 100484 106405 125605 212810 251210 326573 425620 502420 653146 1306292 1632865 3265730 6531460 41123077 82246154 164492308 205615385 411230770 534600001 822461540 1069200002 2138400004 2673000005 5346000010 10692000020