Search a number
-
+
20972292 = 22311158881
BaseRepresentation
bin101000000000…
…0001100000100
31110110111120120
41100000030010
520332103132
62025301540
7343155465
oct120001404
943414516
1020972292
1110924880
1270348b0
134463b53
142adcd6c
151c9402c
hex1400304

20972292 has 24 divisors (see below), whose sum is σ = 53384352. Its totient is φ = 6355200.

The previous prime is 20972291. The next prime is 20972311. The reversal of 20972292 is 29227902.

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

It is not an unprimeable number, because it can be changed into a prime (20972291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79309 + ... + 79572.

It is an arithmetic number, because the mean of its divisors is an integer number (2224348).

Almost surely, 220972292 is an apocalyptic number.

20972292 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20972292 is an abundant number, since it is smaller than the sum of its proper divisors (32412060).

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

20972292 is a wasteful number, since it uses less digits than its factorization.

20972292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158899 (or 158897 counting only the distinct ones).

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

The square root of 20972292 is about 4579.5515064251. The cubic root of 20972292 is about 275.7710241196.

The spelling of 20972292 in words is "twenty million, nine hundred seventy-two thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 158881 317762 476643 635524 953286 1747691 1906572 3495382 5243073 6990764 10486146 20972292