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20309472 = 253297727
BaseRepresentation
bin100110101111…
…0010111100000
31102012211100200
41031132113200
520144400342
62003145200
7334425201
oct115362740
942184320
1020309472
1110511897
126975200
134291251
1429a95a8
151bb294c
hex135e5e0

20309472 has 72 divisors (see below), whose sum is σ = 58430736. Its totient is φ = 6690816.

The previous prime is 20309453. The next prime is 20309489. The reversal of 20309472 is 27490302.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 27573 + ... + 28299.

It is an arithmetic number, because the mean of its divisors is an integer number (811538).

Almost surely, 220309472 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 20309472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29215368).

20309472 is an abundant number, since it is smaller than the sum of its proper divisors (38121264).

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

20309472 is a wasteful number, since it uses less digits than its factorization.

20309472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 20309472 is about 4506.6031553710. The cubic root of 20309472 is about 272.8346621935.

Adding to 20309472 its reverse (27490302), we get a palindrome (47799774).

The spelling of 20309472 in words is "twenty million, three hundred nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 97 144 194 288 291 388 582 727 776 873 1164 1454 1552 1746 2181 2328 2908 3104 3492 4362 4656 5816 6543 6984 8724 9312 11632 13086 13968 17448 23264 26172 27936 34896 52344 69792 70519 104688 141038 209376 211557 282076 423114 564152 634671 846228 1128304 1269342 1692456 2256608 2538684 3384912 5077368 6769824 10154736 20309472