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20714100 = 22352116277
BaseRepresentation
bin100111100000…
…1001001110100
31102222101101220
41033001021310
520300322400
62015550340
7341031651
oct117011164
942871356
1020714100
11107688a0
126b2b3b0
1343a3484
142a72c28
151c427a0
hex13c1274

20714100 has 72 divisors (see below), whose sum is σ = 65391648. Its totient is φ = 5020800.

The previous prime is 20714069. The next prime is 20714101. The reversal of 20714100 is 141702.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20714100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20714101) 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 23 ways as a sum of consecutive naturals, for example, 162 + ... + 6438.

Almost surely, 220714100 is an apocalyptic number.

20714100 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 20714100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32695824).

20714100 is an abundant number, since it is smaller than the sum of its proper divisors (44677548).

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

20714100 is a wasteful number, since it uses less digits than its factorization.

20714100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6305 (or 6298 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 20714100 is about 4551.2745467616. The cubic root of 20714100 is about 274.6346663895.

Adding to 20714100 its reverse (141702), we get a palindrome (20855802).

The spelling of 20714100 in words is "twenty million, seven hundred fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 6277 12554 18831 25108 31385 37662 62770 69047 75324 94155 125540 138094 156925 188310 207141 276188 313850 345235 376620 414282 470775 627700 690470 828564 941550 1035705 1380940 1726175 1883100 2071410 3452350 4142820 5178525 6904700 10357050 20714100