Search a number
-
+
20292712 = 2311892591
BaseRepresentation
bin100110101101…
…0010001101000
31102011222100221
41031122101220
520143331322
62002535424
7334325266
oct115322150
942158327
1020292712
1110500240
126967574
13428672b
1429a3436
151bac9c7
hex135a468

20292712 has 32 divisors (see below), whose sum is σ = 41990400. Its totient is φ = 9116800.

The previous prime is 20292697. The next prime is 20292719. The reversal of 20292712 is 21729202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20292719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6537 + ... + 9127.

It is an arithmetic number, because the mean of its divisors is an integer number (1312200).

Almost surely, 220292712 is an apocalyptic number.

20292712 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 20292712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20995200).

20292712 is an abundant number, since it is smaller than the sum of its proper divisors (21697688).

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

20292712 is a wasteful number, since it uses less digits than its factorization.

20292712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 20292712 is about 4504.7432779238. The cubic root of 20292712 is about 272.7595910253.

The spelling of 20292712 in words is "twenty million, two hundred ninety-two thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 89 178 356 712 979 1958 2591 3916 5182 7832 10364 20728 28501 57002 114004 228008 230599 461198 922396 1844792 2536589 5073178 10146356 20292712