Search a number
-
+
20279292 = 22311672293
BaseRepresentation
bin100110101011…
…0111111111100
31102011021221220
41031112333330
520142414132
62002353340
7334241205
oct115267774
942137856
1020279292
11104a1150
12695b850
1342805a7
14299c5ac
151ba8a2c
hex1356ffc

20279292 has 48 divisors (see below), whose sum is σ = 52413312. Its totient is φ = 6050880.

The previous prime is 20279291. The next prime is 20279309. The reversal of 20279292 is 29297202.

It is a super-2 number, since 2×202792922 = 822499368042528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20279291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7698 + ... + 9990.

It is an arithmetic number, because the mean of its divisors is an integer number (1091944).

Almost surely, 220279292 is an apocalyptic number.

20279292 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 20279292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26206656).

20279292 is an abundant number, since it is smaller than the sum of its proper divisors (32134020).

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

20279292 is a wasteful number, since it uses less digits than its factorization.

20279292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 20279292 is about 4503.2534905333. The cubic root of 20279292 is about 272.6994505356.

The spelling of 20279292 in words is "twenty million, two hundred seventy-nine thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 132 134 201 268 402 737 804 1474 2211 2293 2948 4422 4586 6879 8844 9172 13758 25223 27516 50446 75669 100892 151338 153631 302676 307262 460893 614524 921786 1689941 1843572 3379882 5069823 6759764 10139646 20279292