Search a number
-
+
20792544 = 253593671
BaseRepresentation
bin100111101010…
…0010011100000
31110010101000020
41033110103200
520310330134
62021353440
7341506443
oct117242340
943111006
1020792544
1110811823
126b68880
1344000a6
142a9365a
151c5ab49
hex13d44e0

20792544 has 48 divisors (see below), whose sum is σ = 55520640. Its totient is φ = 6811520.

The previous prime is 20792543. The next prime is 20792633. The reversal of 20792544 is 44529702.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20792543) 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, 3829 + ... + 7499.

It is an arithmetic number, because the mean of its divisors is an integer number (1156680).

Almost surely, 220792544 is an apocalyptic number.

20792544 is a gapful number since it is divisible by the number (24) 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 20792544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27760320).

20792544 is an abundant number, since it is smaller than the sum of its proper divisors (34728096).

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

20792544 is a wasteful number, since it uses less digits than its factorization.

20792544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3743 (or 3735 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 20792544 is about 4559.8842090562. The cubic root of 20792544 is about 274.9809088675.

The spelling of 20792544 in words is "twenty million, seven hundred ninety-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2832 3671 5664 7342 11013 14684 22026 29368 44052 58736 88104 117472 176208 216589 352416 433178 649767 866356 1299534 1732712 2599068 3465424 5198136 6930848 10396272 20792544