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20779080 = 2335729853
BaseRepresentation
bin100111101000…
…1000001001000
31110002200112120
41033101001020
520304412310
62021211240
7341422260
oct117210110
943080476
1020779080
11108026a3
126b60b20
1343c6c1a
142a8c7a0
151c56b70
hex13d1048

20779080 has 128 divisors (see below), whose sum is σ = 73785600. Its totient is φ = 4580352.

The previous prime is 20779063. The next prime is 20779091. The reversal of 20779080 is 8097702.

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, 23934 + ... + 24786.

It is an arithmetic number, because the mean of its divisors is an integer number (576450).

Almost surely, 220779080 is an apocalyptic number.

20779080 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 20779080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36892800).

20779080 is an abundant number, since it is smaller than the sum of its proper divisors (53006520).

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

20779080 is a wasteful number, since it uses less digits than its factorization.

20779080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 20779080 is about 4558.4076167013. The cubic root of 20779080 is about 274.9215423564.

The spelling of 20779080 in words is "twenty million, seven hundred seventy-nine thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 29 30 35 40 42 56 58 60 70 84 87 105 116 120 140 145 168 174 203 210 232 280 290 348 406 420 435 580 609 696 812 840 853 870 1015 1160 1218 1624 1706 1740 2030 2436 2559 3045 3412 3480 4060 4265 4872 5118 5971 6090 6824 8120 8530 10236 11942 12180 12795 17060 17913 20472 23884 24360 24737 25590 29855 34120 35826 47768 49474 51180 59710 71652 74211 89565 98948 102360 119420 123685 143304 148422 173159 179130 197896 238840 247370 296844 346318 358260 371055 494740 519477 593688 692636 716520 742110 865795 989480 1038954 1385272 1484220 1731590 2077908 2597385 2968440 3463180 4155816 5194770 6926360 10389540 20779080