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20851320 = 23357103241
BaseRepresentation
bin100111110001…
…0101001111000
31110020100122010
41033202221320
520314220240
62022525520
7342143010
oct117425170
943210563
1020851320
11108519a6
126b968a0
134420a79
142aaac40
151c6d280
hex13e2a78

20851320 has 128 divisors (see below), whose sum is σ = 72483840. Its totient is φ = 4700160.

The previous prime is 20851301. The next prime is 20851321. The reversal of 20851320 is 2315802.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20851321) 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 31 ways as a sum of consecutive naturals, for example, 86400 + ... + 86640.

It is an arithmetic number, because the mean of its divisors is an integer number (566280).

Almost surely, 220851320 is an apocalyptic number.

20851320 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 20851320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36241920).

20851320 is an abundant number, since it is smaller than the sum of its proper divisors (51632520).

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

20851320 is a wasteful number, since it uses less digits than its factorization.

20851320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 20851320 is about 4566.3245613951. The cubic root of 20851320 is about 275.2397688494.

The spelling of 20851320 in words is "twenty million, eight hundred fifty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 103 105 120 140 168 206 210 241 280 309 412 420 482 515 618 721 723 824 840 964 1030 1205 1236 1442 1446 1545 1687 1928 2060 2163 2410 2472 2884 2892 3090 3374 3605 3615 4120 4326 4820 5061 5768 5784 6180 6748 7210 7230 8435 8652 9640 10122 10815 12360 13496 14420 14460 16870 17304 20244 21630 24823 25305 28840 28920 33740 40488 43260 49646 50610 67480 74469 86520 99292 101220 124115 148938 173761 198584 202440 248230 297876 347522 372345 496460 521283 595752 695044 744690 868805 992920 1042566 1390088 1489380 1737610 2085132 2606415 2978760 3475220 4170264 5212830 6950440 10425660 20851320