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21085434 = 234235659
BaseRepresentation
bin101000001101…
…1110011111010
31110200020210000
41100123303322
520344213214
62031533430
7344136366
oct120336372
943606700
1021085434
11109a1887
12708a276
1344a34b6
142b2c2a6
151cb7809
hex141bcfa

21085434 has 40 divisors (see below), whose sum is σ = 49309920. Its totient is φ = 6721704.

The previous prime is 21085409. The next prime is 21085453. The reversal of 21085434 is 43458012.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21085398 and 21085407.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 897 + ... + 6555.

It is an arithmetic number, because the mean of its divisors is an integer number (1232748).

Almost surely, 221085434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21085434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24654960).

21085434 is an abundant number, since it is smaller than the sum of its proper divisors (28224486).

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

21085434 is a wasteful number, since it uses less digits than its factorization.

21085434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5696 (or 5687 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 21085434 is about 4591.8878470625. The cubic root of 21085434 is about 276.2660478109.

The spelling of 21085434 in words is "twenty-one million, eighty-five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 414 621 1242 1863 3726 5659 11318 16977 33954 50931 101862 130157 152793 260314 305586 390471 458379 780942 916758 1171413 2342826 3514239 7028478 10542717 21085434