Search a number
-
+
20899692 = 22321189593
BaseRepresentation
bin100111110111…
…0011101101100
31110022210222200
41033232131230
520322242232
62023541500
7342434022
oct117563554
943283880
1020899692
1110885280
126bba890
134439aa8
142ac0712
151c7c77c
hex13ee76c

20899692 has 72 divisors (see below), whose sum is σ = 58378320. Its totient is φ = 6251520.

The previous prime is 20899679. The next prime is 20899693. The reversal of 20899692 is 29699802.

It is not an unprimeable number, because it can be changed into a prime (20899693) 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, 34948 + ... + 35540.

It is an arithmetic number, because the mean of its divisors is an integer number (810810).

Almost surely, 220899692 is an apocalyptic number.

20899692 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20899692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29189160).

20899692 is an abundant number, since it is smaller than the sum of its proper divisors (37478628).

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

20899692 is a wasteful number, since it uses less digits than its factorization.

20899692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 20899692 is about 4571.6180942857. The cubic root of 20899692 is about 275.4524430897.

It can be divided in two parts, 2089 and 9692, that added together give a triangular number (11781 = T153).

The spelling of 20899692 in words is "twenty million, eight hundred ninety-nine thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 89 99 132 178 198 267 356 396 534 593 801 979 1068 1186 1602 1779 1958 2372 2937 3204 3558 3916 5337 5874 6523 7116 8811 10674 11748 13046 17622 19569 21348 26092 35244 39138 52777 58707 78276 105554 117414 158331 211108 234828 316662 474993 580547 633324 949986 1161094 1741641 1899972 2322188 3483282 5224923 6966564 10449846 20899692