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20572272 = 243376803
BaseRepresentation
bin100111001111…
…0100001110000
31102201011212000
41032132201300
520231303042
62012534000
7336601320
oct116364160
942634760
1020572272
1110681286
126a81300
134353a56
142a37280
151c1574c
hex139e870

20572272 has 80 divisors (see below), whose sum is σ = 67495680. Its totient is φ = 5876928.

The previous prime is 20572267. The next prime is 20572301. The reversal of 20572272 is 27227502.

It is a happy number.

20572272 is a `hidden beast` number, since 20 + 572 + 2 + 72 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378 + ... + 6425.

It is an arithmetic number, because the mean of its divisors is an integer number (843696).

Almost surely, 220572272 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 20572272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33747840).

20572272 is an abundant number, since it is smaller than the sum of its proper divisors (46923408).

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

20572272 is a wasteful number, since it uses less digits than its factorization.

20572272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6827 (or 6815 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 20572272 is about 4535.6666544181. Note that the first 4 decimals coincide. The cubic root of 20572272 is about 274.0064288900.

Adding to 20572272 its reverse (27227502), we get a palindrome (47799774).

The spelling of 20572272 in words is "twenty million, five hundred seventy-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 6803 13606 20409 27212 40818 47621 54424 61227 81636 95242 108848 122454 142863 163272 183681 190484 244908 285726 326544 367362 380968 428589 489816 571452 734724 761936 857178 979632 1142904 1285767 1469448 1714356 2285808 2571534 2938896 3428712 5143068 6857424 10286136 20572272