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20681700 = 22352135303
BaseRepresentation
bin100111011100…
…1001111100100
31102220201221220
41032321033210
520243303300
62015140340
7340535334
oct116711744
942821856
1020681700
1110746516
126b146b0
1343917c0
142a650c4
151c37da0
hex13b93e4

20681700 has 72 divisors (see below), whose sum is σ = 64454208. Its totient is φ = 5089920.

The previous prime is 20681663. The next prime is 20681701. The reversal of 20681700 is 718602.

It is not an unprimeable number, because it can be changed into a prime (20681701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1249 + ... + 6551.

Almost surely, 220681700 is an apocalyptic number.

20681700 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 20681700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32227104).

20681700 is an abundant number, since it is smaller than the sum of its proper divisors (43772508).

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

20681700 is a wasteful number, since it uses less digits than its factorization.

20681700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5333 (or 5326 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 20681700 is about 4547.7137113059. The cubic root of 20681700 is about 274.4914015508.

The spelling of 20681700 in words is "twenty million, six hundred eighty-one thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 5303 10606 15909 21212 26515 31818 53030 63636 68939 79545 106060 132575 137878 159090 206817 265150 275756 318180 344695 397725 413634 530300 689390 795450 827268 1034085 1378780 1590900 1723475 2068170 3446950 4136340 5170425 6893900 10340850 20681700