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20800380 = 22353153211
BaseRepresentation
bin100111101011…
…0001101111100
31110010202202110
41033112031330
520311103010
62021454020
7341541336
oct117261574
943122673
1020800380
11108176a7
126b71310
134403823
142a96456
151c5d120
hex13d637c

20800380 has 96 divisors (see below), whose sum is σ = 61544448. Its totient is φ = 5241600.

The previous prime is 20800379. The next prime is 20800393. The reversal of 20800380 is 8300802.

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, 98475 + ... + 98685.

It is an arithmetic number, because the mean of its divisors is an integer number (641088).

Almost surely, 220800380 is an apocalyptic number.

20800380 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 20800380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30772224).

20800380 is an abundant number, since it is smaller than the sum of its proper divisors (40744068).

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

20800380 is a wasteful number, since it uses less digits than its factorization.

20800380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 20800380 is about 4560.7433604622. The cubic root of 20800380 is about 275.0154481680.

The spelling of 20800380 in words is "twenty million, eight hundred thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 53 60 62 93 106 124 155 159 186 211 212 265 310 318 372 422 465 530 620 633 636 795 844 930 1055 1060 1266 1590 1643 1860 2110 2532 3165 3180 3286 4220 4929 6330 6541 6572 8215 9858 11183 12660 13082 16430 19623 19716 22366 24645 26164 32705 32860 33549 39246 44732 49290 55915 65410 67098 78492 98115 98580 111830 130820 134196 167745 196230 223660 335490 346673 392460 670980 693346 1040019 1386692 1733365 2080038 3466730 4160076 5200095 6933460 10400190 20800380