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20477268 = 22327233533
BaseRepresentation
bin100111000011…
…1010101010100
31102112100112100
41032013111110
520220233033
62010522100
7336024330
oct116072524
942470470
1020477268
1110616969
126a36330
13431c736
142a107c0
151be7513
hex1387554

20477268 has 72 divisors (see below), whose sum is σ = 61746048. Its totient is φ = 5594688.

The previous prime is 20477263. The next prime is 20477287. The reversal of 20477268 is 86277402.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20477263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4030 + ... + 7562.

It is an arithmetic number, because the mean of its divisors is an integer number (857584).

Almost surely, 220477268 is an apocalyptic number.

20477268 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 20477268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30873024).

20477268 is an abundant number, since it is smaller than the sum of its proper divisors (41268780).

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

20477268 is a wasteful number, since it uses less digits than its factorization.

20477268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3573 (or 3568 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 20477268 is about 4525.1815433196. The cubic root of 20477268 is about 273.5839851609.

The spelling of 20477268 in words is "twenty million, four hundred seventy-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2898 3533 5796 7066 10599 14132 21198 24731 31797 42396 49462 63594 74193 81259 98924 127188 148386 162518 222579 243777 296772 325036 445158 487554 568813 731331 890316 975108 1137626 1462662 1706439 2275252 2925324 3412878 5119317 6825756 10238634 20477268