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20714430 = 23511411531
BaseRepresentation
bin100111100000…
…1001110111110
31102222101212010
41033001032332
520300330210
62015552050
7341032632
oct117011676
942871763
1020714430
1110769070
126b2b626
1343a3679
142a72dc2
151c42920
hex13c13be

20714430 has 64 divisors (see below), whose sum is σ = 55593216. Its totient is φ = 4896000.

The previous prime is 20714429. The next prime is 20714437. The reversal of 20714430 is 3441702.

It is a super-2 number, since 2×207144302 = 858175220449800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20714397 and 20714406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20714437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12765 + ... + 14295.

It is an arithmetic number, because the mean of its divisors is an integer number (868644).

Almost surely, 220714430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20714430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27796608).

20714430 is an abundant number, since it is smaller than the sum of its proper divisors (34878786).

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

20714430 is a wasteful number, since it uses less digits than its factorization.

20714430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593.

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 20714430 is about 4551.3108001981. The cubic root of 20714430 is about 274.6361247997.

The spelling of 20714430 in words is "twenty million, seven hundred fourteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 41 55 66 82 110 123 165 205 246 330 410 451 615 902 1230 1353 1531 2255 2706 3062 4510 4593 6765 7655 9186 13530 15310 16841 22965 33682 45930 50523 62771 84205 101046 125542 168410 188313 252615 313855 376626 505230 627710 690481 941565 1380962 1883130 2071443 3452405 4142886 6904810 10357215 20714430