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20798272 = 261131953
BaseRepresentation
bin100111101010…
…1101101000000
31110010122212101
41033111231000
520311021042
62021440144
7341532235
oct117255500
943118771
1020798272
1110816060
126b70054
134402891
142a9578c
151c5c6b7
hex13d5b40

20798272 has 56 divisors (see below), whose sum is σ = 46524672. Its totient is φ = 9139200.

The previous prime is 20798263. The next prime is 20798317. The reversal of 20798272 is 27289702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21348 + ... + 22300.

Almost surely, 220798272 is an apocalyptic number.

20798272 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 20798272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23262336).

20798272 is an abundant number, since it is smaller than the sum of its proper divisors (25726400).

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

20798272 is a wasteful number, since it uses less digits than its factorization.

20798272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 20798272 is about 4560.5122519296. The cubic root of 20798272 is about 275.0061574379.

The spelling of 20798272 in words is "twenty million, seven hundred ninety-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 176 248 341 352 496 682 704 953 992 1364 1906 1984 2728 3812 5456 7624 10483 10912 15248 20966 21824 29543 30496 41932 59086 60992 83864 118172 167728 236344 324973 335456 472688 649946 670912 945376 1299892 1890752 2599784 5199568 10399136 20798272