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20802416 = 2419411669
BaseRepresentation
bin100111101011…
…0101101110000
31110010212112212
41033112231300
520311134131
62021511252
7341550305
oct117265560
943125485
1020802416
1110819188
126b72528
13440472b
142a970ac
151c5da2b
hex13d6b70

20802416 has 40 divisors (see below), whose sum is σ = 43486800. Its totient is φ = 9607680.

The previous prime is 20802401. The next prime is 20802421. The reversal of 20802416 is 61420802.

It is a super-2 number, since 2×208024162 = 865481022874112, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20802391 and 20802400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11630 + ... + 13298.

It is an arithmetic number, because the mean of its divisors is an integer number (1087170).

Almost surely, 220802416 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 20802416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21743400).

20802416 is an abundant number, since it is smaller than the sum of its proper divisors (22684384).

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

20802416 is a wasteful number, since it uses less digits than its factorization.

20802416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 20802416 is about 4560.9665642274. The cubic root of 20802416 is about 275.0244209718.

The spelling of 20802416 in words is "twenty million, eight hundred two thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 19 38 41 76 82 152 164 304 328 656 779 1558 1669 3116 3338 6232 6676 12464 13352 26704 31711 63422 68429 126844 136858 253688 273716 507376 547432 1094864 1300151 2600302 5200604 10401208 20802416