Search a number
-
+
20737080 = 23335713211
BaseRepresentation
bin100111100011…
…0110000111000
31110000112221000
41033012300320
520302041310
62020245000
7341155650
oct117066070
943015830
1020737080
1110784091
126b40760
1343b0a80
142a7b360
151c494c0
hex13c6c38

20737080 has 256 divisors, whose sum is σ = 85478400. Its totient is φ = 4354560.

The previous prime is 20737063. The next prime is 20737081. The reversal of 20737080 is 8073702.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20737081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98175 + ... + 98385.

It is an arithmetic number, because the mean of its divisors is an integer number (333900).

Almost surely, 220737080 is an apocalyptic number.

20737080 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 20737080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42739200).

20737080 is an abundant number, since it is smaller than the sum of its proper divisors (64741320).

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

20737080 is a wasteful number, since it uses less digits than its factorization.

20737080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 20737080 is about 4553.7984145107. The cubic root of 20737080 is about 274.7361877727.

The spelling of 20737080 in words is "twenty million, seven hundred thirty-seven thousand, eighty".