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20724352 = 271141359
BaseRepresentation
bin100111100001…
…1101010000000
31102222220110121
41033003222000
520301134402
62020110024
7341103565
oct117035200
942886417
1020724352
1110775570
126b35314
1343a803c
142a7686c
151c45837
hex13c3a80

20724352 has 64 divisors (see below), whose sum is σ = 46267200. Its totient is φ = 9164800.

The previous prime is 20724349. The next prime is 20724359. The reversal of 20724352 is 25342702.

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

It is not an unprimeable number, because it can be changed into a prime (20724359) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57549 + ... + 57907.

It is an arithmetic number, because the mean of its divisors is an integer number (722925).

Almost surely, 220724352 is an apocalyptic number.

20724352 is a gapful number since it is divisible by the number (22) 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 20724352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23133600).

20724352 is an abundant number, since it is smaller than the sum of its proper divisors (25542848).

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

20724352 is a wasteful number, since it uses less digits than its factorization.

20724352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 20724352 is about 4552.4006853527. The cubic root of 20724352 is about 274.6799670982.

The spelling of 20724352 in words is "twenty million, seven hundred twenty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 128 164 176 328 352 359 451 656 704 718 902 1312 1408 1436 1804 2624 2872 3608 3949 5248 5744 7216 7898 11488 14432 14719 15796 22976 28864 29438 31592 45952 57728 58876 63184 117752 126368 161909 235504 252736 323818 471008 505472 647636 942016 1295272 1884032 2590544 5181088 10362176 20724352