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20620704 = 2531323141
BaseRepresentation
bin100111010101…
…0010110100000
31102210122021210
41032222112200
520234330304
62013550120
7340162446
oct116522640
942718253
1020620704
1110704705
126aa5340
13436cb00
142a4ab96
151c24c89
hex13aa5a0

20620704 has 144 divisors (see below), whose sum is σ = 61979904. Its totient is φ = 5990400.

The previous prime is 20620687. The next prime is 20620709. The reversal of 20620704 is 40702602.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20620709) 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 23 ways as a sum of consecutive naturals, for example, 502924 + ... + 502964.

It is an arithmetic number, because the mean of its divisors is an integer number (430416).

Almost surely, 220620704 is an apocalyptic number.

20620704 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 20620704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30989952).

20620704 is an abundant number, since it is smaller than the sum of its proper divisors (41359200).

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

20620704 is a wasteful number, since it uses less digits than its factorization.

20620704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 20620704 is about 4541.0025324811. The cubic root of 20620704 is about 274.2212857104.

It can be divided in two parts, 206 and 20704, that added together give a triangular number (20910 = T204).

The spelling of 20620704 in words is "twenty million, six hundred twenty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 41 48 52 62 78 82 93 96 104 123 124 156 164 169 186 208 246 248 312 328 338 372 403 416 492 496 507 533 624 656 676 744 806 984 992 1014 1066 1209 1248 1271 1312 1352 1488 1599 1612 1968 2028 2132 2418 2542 2704 2976 3198 3224 3813 3936 4056 4264 4836 5084 5239 5408 6396 6448 6929 7626 8112 8528 9672 10168 10478 12792 12896 13858 15252 15717 16224 16523 17056 19344 20336 20787 20956 25584 27716 30504 31434 33046 38688 40672 41574 41912 49569 51168 55432 61008 62868 66092 83148 83824 99138 110864 122016 125736 132184 166296 167648 198276 214799 221728 251472 264368 332592 396552 429598 502944 528736 644397 665184 793104 859196 1288794 1586208 1718392 2577588 3436784 5155176 6873568 10310352 20620704