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20627960 = 2354367179
BaseRepresentation
bin100111010110…
…0000111111000
31102211000020112
41032230013320
520240043320
62014043452
7340222553
oct116540770
942730215
1020627960
111070a101
126aa9588
1343731c2
142a4d69a
151c26ec5
hex13ac1f8

20627960 has 64 divisors (see below), whose sum is σ = 48470400. Its totient is φ = 7894656.

The previous prime is 20627947. The next prime is 20627963. The reversal of 20627960 is 6972602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20627963) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 115151 + ... + 115329.

It is an arithmetic number, because the mean of its divisors is an integer number (757350).

Almost surely, 220627960 is an apocalyptic number.

20627960 is a gapful number since it is divisible by the number (20) 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 20627960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24235200).

20627960 is an abundant number, since it is smaller than the sum of its proper divisors (27842440).

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

20627960 is a wasteful number, since it uses less digits than its factorization.

20627960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 20627960 is about 4541.8014047292. The cubic root of 20627960 is about 274.2534462081.

The spelling of 20627960 in words is "twenty million, six hundred twenty-seven thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 43 67 86 134 172 179 215 268 335 344 358 430 536 670 716 860 895 1340 1432 1720 1790 2680 2881 3580 5762 7160 7697 11524 11993 14405 15394 23048 23986 28810 30788 38485 47972 57620 59965 61576 76970 95944 115240 119930 153940 239860 307880 479720 515699 1031398 2062796 2578495 4125592 5156990 10313980 20627960