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20703960 = 23325172199
BaseRepresentation
bin100111011111…
…0101011011000
31102221212111100
41032332223120
520300011320
62015431400
7340660254
oct116765330
942855440
1020703960
1110761212
126b25560
13439b984
142a6d264
151c3e790
hex13bead8

20703960 has 144 divisors (see below), whose sum is σ = 71838000. Its totient is φ = 5170176.

The previous prime is 20703959. The next prime is 20703961. The reversal of 20703960 is 6930702.

It is an interprime number because it is at equal distance from previous prime (20703959) and next prime (20703961).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20703961) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 103941 + ... + 104139.

It is an arithmetic number, because the mean of its divisors is an integer number (498875).

Almost surely, 220703960 is an apocalyptic number.

20703960 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 20703960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35919000).

20703960 is an abundant number, since it is smaller than the sum of its proper divisors (51134040).

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

20703960 is a wasteful number, since it uses less digits than its factorization.

20703960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 20703960 is about 4550.1604367319. The cubic root of 20703960 is about 274.5898458720.

The spelling of 20703960 in words is "twenty million, seven hundred three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 199 204 255 289 306 340 360 398 408 510 578 597 612 680 765 796 867 995 1020 1156 1194 1224 1445 1530 1592 1734 1791 1990 2040 2312 2388 2601 2890 2985 3060 3383 3468 3582 3980 4335 4776 5202 5780 5970 6120 6766 6936 7164 7960 8670 8955 10149 10404 11560 11940 13005 13532 14328 16915 17340 17910 20298 20808 23880 26010 27064 30447 33830 34680 35820 40596 50745 52020 57511 60894 67660 71640 81192 101490 104040 115022 121788 135320 152235 172533 202980 230044 243576 287555 304470 345066 405960 460088 517599 575110 608940 690132 862665 1035198 1150220 1217880 1380264 1725330 2070396 2300440 2587995 3450660 4140792 5175990 6901320 10351980 20703960