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20630064 = 2437134723
BaseRepresentation
bin100111010110…
…0101000110000
31102211010010110
41032230220300
520240130224
62014101320
7340231650
oct116545060
942733113
1020630064
1110710744
126aaa840
134374150
142a50360
151c27929
hex13aca30

20630064 has 80 divisors (see below), whose sum is σ = 65606912. Its totient is φ = 5439744.

The previous prime is 20630063. The next prime is 20630069. The reversal of 20630064 is 46003602.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 20630064.

It is not an unprimeable number, because it can be changed into a prime (20630063) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2007 + ... + 6729.

Almost surely, 220630064 is an apocalyptic number.

20630064 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 20630064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32803456).

20630064 is an abundant number, since it is smaller than the sum of its proper divisors (44976848).

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

20630064 is a wasteful number, since it uses less digits than its factorization.

20630064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4754 (or 4748 counting only the distinct ones).

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

The square root of 20630064 is about 4542.0330249790. The cubic root of 20630064 is about 274.2627702782.

Adding to 20630064 its reverse (46003602), we get a palindrome (66633666).

The spelling of 20630064 in words is "twenty million, six hundred thirty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 4723 9446 14169 18892 28338 33061 37784 56676 61399 66122 75568 99183 113352 122798 132244 184197 198366 226704 245596 264488 368394 396732 429793 491192 528976 736788 793464 859586 982384 1289379 1473576 1586928 1719172 2578758 2947152 3438344 5157516 6876688 10315032 20630064