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20723408 = 2417611249
BaseRepresentation
bin100111100001…
…1011011010000
31102222212011122
41033003123100
520301122113
62020101412
7341101046
oct117033320
942885148
1020723408
1110774892
126b34868
1343a7794
142a76396
151c45408
hex13c36d0

20723408 has 40 divisors (see below), whose sum is σ = 43245000. Its totient is φ = 9584640.

The previous prime is 20723401. The next prime is 20723411. The reversal of 20723408 is 80432702.

It can be written as a sum of positive squares in 4 ways, for example, as 760384 + 19963024 = 872^2 + 4468^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20723401) 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, 15968 + ... + 17216.

It is an arithmetic number, because the mean of its divisors is an integer number (1081125).

Almost surely, 220723408 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 20723408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21622500).

20723408 is an abundant number, since it is smaller than the sum of its proper divisors (22521592).

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

20723408 is a wasteful number, since it uses less digits than its factorization.

20723408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 20723408 is about 4552.2970026131. The cubic root of 20723408 is about 274.6757964519.

The spelling of 20723408 in words is "twenty million, seven hundred twenty-three thousand, four hundred eight".

Divisors: 1 2 4 8 16 17 34 61 68 122 136 244 272 488 976 1037 1249 2074 2498 4148 4996 8296 9992 16592 19984 21233 42466 76189 84932 152378 169864 304756 339728 609512 1219024 1295213 2590426 5180852 10361704 20723408