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20553468 = 22313359367
BaseRepresentation
bin100111001100…
…1111011111100
31102200020001120
41032121323330
520230202333
62012310540
7336462435
oct116317374
942606046
1020553468
1110669141
126a72450
134348320
142a3048c
151c0edb3
hex1399efc

20553468 has 48 divisors (see below), whose sum is σ = 51932160. Its totient is φ = 6289344.

The previous prime is 20553461. The next prime is 20553469. The reversal of 20553468 is 86435502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20553461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55821 + ... + 56187.

It is an arithmetic number, because the mean of its divisors is an integer number (1081920).

Almost surely, 220553468 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 20553468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25966080).

20553468 is an abundant number, since it is smaller than the sum of its proper divisors (31378692).

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

20553468 is a wasteful number, since it uses less digits than its factorization.

20553468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 20553468 is about 4533.5932768611. The cubic root of 20553468 is about 273.9229186270.

The spelling of 20553468 in words is "twenty million, five hundred fifty-three thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 359 367 718 734 1077 1101 1436 1468 2154 2202 4308 4404 4667 4771 9334 9542 14001 14313 18668 19084 28002 28626 56004 57252 131753 263506 395259 527012 790518 1581036 1712789 3425578 5138367 6851156 10276734 20553468