Search a number
-
+
20631700 = 22521931069
BaseRepresentation
bin100111010110…
…1000010010100
31102211012101001
41032231002110
520240203300
62014113044
7340236505
oct116550224
942735331
1020631700
11107119a1
126aab784
134374b0b
142a50bac
151c2816a
hex13ad094

20631700 has 36 divisors (see below), whose sum is σ = 45044860. Its totient is φ = 8202240.

The previous prime is 20631697. The next prime is 20631707. The reversal of 20631700 is 713602.

It can be written as a sum of positive squares in 6 ways, for example, as 1726596 + 18905104 = 1314^2 + 4348^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20631707) 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 11 ways as a sum of consecutive naturals, for example, 18766 + ... + 19834.

Almost surely, 220631700 is an apocalyptic number.

20631700 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 20631700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22522430).

20631700 is an abundant number, since it is smaller than the sum of its proper divisors (24413160).

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

20631700 is a wasteful number, since it uses less digits than its factorization.

20631700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 20631700 is about 4542.2131169728. The cubic root of 20631700 is about 274.2700199250.

The spelling of 20631700 in words is "twenty million, six hundred thirty-one thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 193 386 772 965 1069 1930 2138 3860 4276 4825 5345 9650 10690 19300 21380 26725 53450 106900 206317 412634 825268 1031585 2063170 4126340 5157925 10315850 20631700