Search a number
-
+
20702000 = 245311941
BaseRepresentation
bin100111011111…
…0001100110000
31102221202210202
41032332030300
520244431000
62015414332
7340651454
oct116761460
942852722
1020702000
111075a7a0
126b243a8
13439ab07
142a6c664
151c3ddd5
hex13be330

20702000 has 80 divisors (see below), whose sum is σ = 54666144. Its totient is φ = 7520000.

The previous prime is 20701999. The next prime is 20702009. The reversal of 20702000 is 20702.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (11).

It is not an unprimeable number, because it can be changed into a prime (20702009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21530 + ... + 22470.

Almost surely, 220702000 is an apocalyptic number.

20702000 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 20702000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27333072).

20702000 is an abundant number, since it is smaller than the sum of its proper divisors (33964144).

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

20702000 is a wasteful number, since it uses less digits than its factorization.

20702000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 11.

The square root of 20702000 is about 4549.9450546133. The cubic root of 20702000 is about 274.5811806524.

Adding to 20702000 its reverse (20702), we get a palindrome (20722702).

20702000 divided by its reverse (20702) gives a cube (1000 = 103).

The spelling of 20702000 in words is "twenty million, seven hundred two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 941 1000 1100 1375 1882 2000 2200 2750 3764 4400 4705 5500 7528 9410 10351 11000 15056 18820 20702 22000 23525 37640 41404 47050 51755 75280 82808 94100 103510 117625 165616 188200 207020 235250 258775 376400 414040 470500 517550 828080 941000 1035100 1293875 1882000 2070200 2587750 4140400 5175500 10351000 20702000