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20779740 = 22345101127
BaseRepresentation
bin100111101000…
…1001011011100
31110002201110000
41033101023130
520304422430
62021214300
7341424222
oct117211334
943081400
1020779740
1110803143
126b61390
1343c7307
142a8cb12
151c56e60
hex13d12dc

20779740 has 120 divisors (see below), whose sum is σ = 66350592. Its totient is φ = 5443200.

The previous prime is 20779739. The next prime is 20779751. The reversal of 20779740 is 4797702.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20779695 and 20779704.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 163557 + ... + 163683.

Almost surely, 220779740 is an apocalyptic number.

20779740 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 20779740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33175296).

20779740 is an abundant number, since it is smaller than the sum of its proper divisors (45570852).

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

20779740 is a wasteful number, since it uses less digits than its factorization.

20779740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 20779740 is about 4558.4800098278. The cubic root of 20779740 is about 274.9244530771.

The spelling of 20779740 in words is "twenty million, seven hundred seventy-nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 101 108 127 135 162 180 202 254 270 303 324 381 404 405 505 508 540 606 635 762 810 909 1010 1143 1212 1270 1515 1524 1620 1818 1905 2020 2286 2540 2727 3030 3429 3636 3810 4545 4572 5454 5715 6060 6858 7620 8181 9090 10287 10908 11430 12827 13635 13716 16362 17145 18180 20574 22860 25654 27270 32724 34290 38481 40905 41148 51308 51435 54540 64135 68580 76962 81810 102870 115443 128270 153924 163620 192405 205740 230886 256540 346329 384810 461772 577215 692658 769620 1038987 1154430 1385316 1731645 2077974 2308860 3463290 4155948 5194935 6926580 10389870 20779740