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20801472 = 263176373
BaseRepresentation
bin100111101011…
…0011111000000
31110010211020220
41033112133000
520311121342
62021503040
7341544456
oct117263700
943124226
1020801472
11108184aa
126b71a80
134404183
142a969d6
151c5d5ec
hex13d67c0

20801472 has 56 divisors (see below), whose sum is σ = 58283856. Its totient is φ = 6524928.

The previous prime is 20801471. The next prime is 20801479. The reversal of 20801472 is 27410802.

It is a super-3 number, since 3×208014723 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20801471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78 + ... + 6450.

Almost surely, 220801472 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 20801472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29141928).

20801472 is an abundant number, since it is smaller than the sum of its proper divisors (37482384).

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

20801472 is a wasteful number, since it uses less digits than its factorization.

20801472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6405 (or 6395 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 20801472 is about 4560.8630762170. The cubic root of 20801472 is about 275.0202607662.

The spelling of 20801472 in words is "twenty million, eight hundred one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 6373 12746 19119 25492 38238 50984 76476 101968 108341 152952 203936 216682 305904 325023 407872 433364 611808 650046 866728 1223616 1300092 1733456 2600184 3466912 5200368 6933824 10400736 20801472