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20072772 = 2235107193
BaseRepresentation
bin100110010010…
…0100101000100
31101202210200000
41030210211010
520114312042
61554121300
7332421126
oct114444504
941683600
1020072772
111036aa75
126880230
13420a5a5
142947216
151b6774c
hex1324944

20072772 has 72 divisors (see below), whose sum is σ = 53385696. Its totient is φ = 6594048.

The previous prime is 20072771. The next prime is 20072777. The reversal of 20072772 is 27727002.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20072771) 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, 103908 + ... + 104100.

It is an arithmetic number, because the mean of its divisors is an integer number (741468).

Almost surely, 220072772 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 20072772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26692848).

20072772 is an abundant number, since it is smaller than the sum of its proper divisors (33312924).

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

20072772 is a wasteful number, since it uses less digits than its factorization.

20072772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

The square root of 20072772 is about 4480.2647243215. The cubic root of 20072772 is about 271.7705858262.

Adding to 20072772 its reverse (27727002), we get a palindrome (47799774).

The spelling of 20072772 in words is "twenty million, seventy-two thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 107 108 162 193 214 243 321 324 386 428 486 579 642 772 963 972 1158 1284 1737 1926 2316 2889 3474 3852 5211 5778 6948 8667 10422 11556 15633 17334 20651 20844 26001 31266 34668 41302 46899 52002 61953 62532 82604 93798 104004 123906 185859 187596 247812 371718 557577 743436 1115154 1672731 2230308 3345462 5018193 6690924 10036386 20072772