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20970816 = 263239457
BaseRepresentation
bin100111111111…
…1110101000000
31110110102112220
41033333311000
520332031231
62025251040
7343151256
oct117776500
943412486
1020970816
1110923759
127033a80
134463289
142adc5d6
151c93896
hex13ffd40

20970816 has 56 divisors (see below), whose sum is σ = 55839360. Its totient is φ = 6945792.

The previous prime is 20970811. The next prime is 20970821. The reversal of 20970816 is 61807902.

It is an interprime number because it is at equal distance from previous prime (20970811) and next prime (20970821).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20970811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45660 + ... + 46116.

Almost surely, 220970816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20970816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27919680).

20970816 is an abundant number, since it is smaller than the sum of its proper divisors (34868544).

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

20970816 is a wasteful number, since it uses less digits than its factorization.

20970816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 20970816 is about 4579.3903524378. The cubic root of 20970816 is about 275.7645545107.

The spelling of 20970816 in words is "twenty million, nine hundred seventy thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 239 457 478 717 914 956 1371 1434 1828 1912 2742 2868 3656 3824 5484 5736 7312 7648 10968 11472 14624 15296 21936 22944 29248 43872 45888 87744 109223 218446 327669 436892 655338 873784 1310676 1747568 2621352 3495136 5242704 6990272 10485408 20970816