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20897408 = 27783281
BaseRepresentation
bin100111110110…
…1111010000000
31110022200212002
41033231322000
520322204113
62023523132
7342424250
oct117557200
943280762
1020897408
1110883594
126bb94a8
134438a3c
142abd960
151c7bc58
hex13ede80

20897408 has 64 divisors (see below), whose sum is σ = 48323520. Its totient is φ = 8816640.

The previous prime is 20897377. The next prime is 20897411. The reversal of 20897408 is 80479802.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×208974082 = 873403322236928, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74228 + ... + 74508.

It is an arithmetic number, because the mean of its divisors is an integer number (755055).

Almost surely, 220897408 is an apocalyptic number.

20897408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20897408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24161760).

20897408 is an abundant number, since it is smaller than the sum of its proper divisors (27426112).

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

20897408 is an equidigital number, since it uses as much as digits as its factorization.

20897408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 20897408 is about 4571.3682853168. The cubic root of 20897408 is about 275.4424085510.

The spelling of 20897408 in words is "twenty million, eight hundred ninety-seven thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 83 112 128 166 224 281 332 448 562 581 664 896 1124 1162 1328 1967 2248 2324 2656 3934 4496 4648 5312 7868 8992 9296 10624 15736 17984 18592 23323 31472 35968 37184 46646 62944 74368 93292 125888 163261 186584 251776 326522 373168 653044 746336 1306088 1492672 2612176 2985344 5224352 10448704 20897408