Search a number
-
+
20944560 = 24357213137
BaseRepresentation
bin100111111100…
…1011010110000
31110102002112110
41033321122300
520330211220
62024525320
7343011600
oct117713260
943362473
1020944560
1110905a5a
127020840
134454340
142ad2c00
151c8abe0
hex13f96b0

20944560 has 240 divisors, whose sum is σ = 81932256. Its totient is φ = 4386816.

The previous prime is 20944541. The next prime is 20944571. The reversal of 20944560 is 6544902.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152812 + ... + 152948.

Almost surely, 220944560 is an apocalyptic number.

20944560 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 20944560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40966128).

20944560 is an abundant number, since it is smaller than the sum of its proper divisors (60987696).

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

20944560 is a wasteful number, since it uses less digits than its factorization.

20944560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 20944560 is about 4576.5226974200. The cubic root of 20944560 is about 275.6494183456.

The spelling of 20944560 in words is "twenty million, nine hundred forty-four thousand, five hundred sixty".