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20803380 = 223513149179
BaseRepresentation
bin100111101011…
…0111100110100
31110010220212120
41033112330310
520311202010
62021515540
7341553153
oct117267464
943126776
1020803380
1110819984
126b72bb0
134404cc0
142a9759a
151c5de70
hex13d6f34

20803380 has 96 divisors (see below), whose sum is σ = 63504000. Its totient is φ = 5058048.

The previous prime is 20803373. The next prime is 20803399. The reversal of 20803380 is 8330802.

It is a self number, because there is not a number n which added to its sum of digits gives 20803380.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116131 + ... + 116309.

It is an arithmetic number, because the mean of its divisors is an integer number (661500).

Almost surely, 220803380 is an apocalyptic number.

20803380 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 20803380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31752000).

20803380 is an abundant number, since it is smaller than the sum of its proper divisors (42700620).

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

20803380 is a wasteful number, since it uses less digits than its factorization.

20803380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 20803380 is about 4561.0722423571. The cubic root of 20803380 is about 275.0286691874.

It can be divided in two parts, 2080 and 3380, that added together give a triangular number (5460 = T104).

The spelling of 20803380 in words is "twenty million, eight hundred three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 149 156 179 195 260 298 358 390 447 537 596 716 745 780 894 895 1074 1490 1788 1790 1937 2148 2235 2327 2685 2980 3580 3874 4470 4654 5370 5811 6981 7748 8940 9308 9685 10740 11622 11635 13962 19370 23244 23270 26671 27924 29055 34905 38740 46540 53342 58110 69810 80013 106684 116220 133355 139620 160026 266710 320052 346723 400065 533420 693446 800130 1040169 1386892 1600260 1733615 2080338 3467230 4160676 5200845 6934460 10401690 20803380