Search a number
-
+
20930580 = 22325112312
BaseRepresentation
bin100111111011…
…0000000010100
31110101101100200
41033312000110
520324234310
62024340500
7342623046
oct117660024
943341320
1020930580
11108a6500
127014730
13444ab78
142acba96
151c869c0
hex13f6014

20930580 has 162 divisors, whose sum is σ = 72109674. Its totient is φ = 4910400.

The previous prime is 20930579. The next prime is 20930593. The reversal of 20930580 is 8503902.

20930580 = T289 + T290 + ... + T530.

It can be written as a sum of positive squares in only one way, i.e., 16744464 + 4186116 = 4092^2 + 2046^2 .

It is a super-3 number, since 3×209305803 (a number of 23 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 675165 + ... + 675195.

Almost surely, 220930580 is an apocalyptic number.

20930580 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 20930580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36054837).

20930580 is an abundant number, since it is smaller than the sum of its proper divisors (51179094).

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

20930580 is a wasteful number, since it uses less digits than its factorization.

20930580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 20930580 is about 4574.9950819646. The cubic root of 20930580 is about 275.5880748658.

The spelling of 20930580 in words is "twenty million, nine hundred thirty thousand, five hundred eighty".