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20606304 = 253474567
BaseRepresentation
bin100111010011…
…0110101100000
31102202220112110
41032212311200
520233400204
62013355320
7340102455
oct116466540
942686473
1020606304
11106a4904
126a98b40
1343663a4
142a4582c
151c20889
hex13a6d60

20606304 has 48 divisors (see below), whose sum is σ = 55254528. Its totient is φ = 6721152.

The previous prime is 20606293. The next prime is 20606309. The reversal of 20606304 is 40360602.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20606309) 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, 2229 + ... + 6795.

It is an arithmetic number, because the mean of its divisors is an integer number (1151136).

Almost surely, 220606304 is an apocalyptic number.

20606304 is a gapful number since it is divisible by the number (24) 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 20606304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27627264).

20606304 is an abundant number, since it is smaller than the sum of its proper divisors (34648224).

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

20606304 is a wasteful number, since it uses less digits than its factorization.

20606304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4627 (or 4619 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 20606304 is about 4539.4167026172. The cubic root of 20606304 is about 274.1574387785.

Adding to 20606304 its reverse (40360602), we get a palindrome (60966906).

It can be divided in two parts, 20606 and 304, that added together give a triangular number (20910 = T204).

The spelling of 20606304 in words is "twenty million, six hundred six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 4567 9134 13701 18268 27402 36536 54804 73072 109608 146144 214649 219216 429298 438432 643947 858596 1287894 1717192 2575788 3434384 5151576 6868768 10303152 20606304