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20722960 = 245377001
BaseRepresentation
bin100111100001…
…1010100010000
31102222211120001
41033003110100
520301113320
62020055344
7341066536
oct117032420
942884501
1020722960
1110774515
126b34554
1343a750b
142a76156
151c4520a
hex13c3510

20722960 has 40 divisors (see below), whose sum is σ = 49490136. Its totient is φ = 8064000.

The previous prime is 20722951. The next prime is 20722963. The reversal of 20722960 is 6922702.

It can be written as a sum of positive squares in 4 ways, for example, as 4946176 + 15776784 = 2224^2 + 3972^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (20722963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 541 + ... + 6460.

Almost surely, 220722960 is an apocalyptic number.

20722960 is a gapful number since it is divisible by the number (20) 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 20722960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24745068).

20722960 is an abundant number, since it is smaller than the sum of its proper divisors (28767176).

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

20722960 is a wasteful number, since it uses less digits than its factorization.

20722960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7051 (or 7045 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 20722960 is about 4552.2477964188. The cubic root of 20722960 is about 274.6738171178.

The spelling of 20722960 in words is "twenty million, seven hundred twenty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 7001 14002 28004 35005 56008 70010 112016 140020 259037 280040 518074 560080 1036148 1295185 2072296 2590370 4144592 5180740 10361480 20722960