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20630624 = 257312971
BaseRepresentation
bin100111010110…
…0110001100000
31102211010220012
41032230301200
520240134444
62014104052
7340233410
oct116546140
942733805
1020630624
1110711103
126aab028
134374491
142a50640
151c27b9e
hex13acc60

20630624 has 48 divisors (see below), whose sum is σ = 47932416. Its totient is φ = 8553600.

The previous prime is 20630611. The next prime is 20630641. The reversal of 20630624 is 42603602.

It is a self number, because there is not a number n which added to its sum of digits gives 20630624.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5459 + ... + 8429.

It is an arithmetic number, because the mean of its divisors is an integer number (998592).

Almost surely, 220630624 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 20630624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23966208).

20630624 is an abundant number, since it is smaller than the sum of its proper divisors (27301792).

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

20630624 is a wasteful number, since it uses less digits than its factorization.

20630624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3019 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 20630624 is about 4542.0946709640. The cubic root of 20630624 is about 274.2652518630.

The spelling of 20630624 in words is "twenty million, six hundred thirty thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 2971 3472 5942 6944 11884 20797 23768 41594 47536 83188 92101 95072 166376 184202 332752 368404 644707 665504 736808 1289414 1473616 2578828 2947232 5157656 10315312 20630624