Search a number
-
+
20711000 = 2353139149
BaseRepresentation
bin100111100000…
…0011001011000
31102222020011002
41033000121120
520300223000
62015524132
7341016632
oct117003130
942866132
1020711000
1110766532
126b29648
1343a1c3b
142a71a52
151c418d5
hex13c0658

20711000 has 64 divisors (see below), whose sum is σ = 49140000. Its totient is φ = 8169600.

The previous prime is 20710999. The next prime is 20711003. The reversal of 20711000 is 11702.

20711000 = T451 + T452 + ... + T599.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20711003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138926 + ... + 139074.

Almost surely, 220711000 is an apocalyptic number.

20711000 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 20711000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24570000).

20711000 is an abundant number, since it is smaller than the sum of its proper divisors (28429000).

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

20711000 is a wasteful number, since it uses less digits than its factorization.

20711000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 20711000 is about 4550.9339700769. The cubic root of 20711000 is about 274.6209654171.

Adding to 20711000 its reverse (11702), we get a palindrome (20722702).

The spelling of 20711000 in words is "twenty million, seven hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 139 149 200 250 278 298 500 556 596 695 745 1000 1112 1192 1390 1490 2780 2980 3475 3725 5560 5960 6950 7450 13900 14900 17375 18625 20711 27800 29800 34750 37250 41422 69500 74500 82844 103555 139000 149000 165688 207110 414220 517775 828440 1035550 2071100 2588875 4142200 5177750 10355500 20711000