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20579940 = 22335231657
BaseRepresentation
bin100111010000…
…0011001100100
31102201120101000
41032200121210
520232024230
62013033300
7336632553
oct116403144
942646330
1020579940
1110687017
126a85830
1343573a4
142a39d9a
151c17b60
hex13a0664

20579940 has 96 divisors (see below), whose sum is σ = 66850560. Its totient is φ = 5246208.

The previous prime is 20579927. The next prime is 20579947. The reversal of 20579940 is 4997502.

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 = 20579895 and 20579904.

It is not an unprimeable number, because it can be changed into a prime (20579947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11592 + ... + 13248.

It is an arithmetic number, because the mean of its divisors is an integer number (696360).

Almost surely, 220579940 is an apocalyptic number.

20579940 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 20579940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33425280).

20579940 is an abundant number, since it is smaller than the sum of its proper divisors (46270620).

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

20579940 is a wasteful number, since it uses less digits than its factorization.

20579940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 20579940 is about 4536.5118758800. The cubic root of 20579940 is about 274.0404685640.

The spelling of 20579940 in words is "twenty million, five hundred seventy-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 345 414 460 540 621 690 828 1035 1242 1380 1657 2070 2484 3105 3314 4140 4971 6210 6628 8285 9942 12420 14913 16570 19884 24855 29826 33140 38111 44739 49710 59652 74565 76222 89478 99420 114333 149130 152444 178956 190555 223695 228666 298260 342999 381110 447390 457332 571665 685998 762220 894780 1028997 1143330 1371996 1714995 2057994 2286660 3429990 4115988 5144985 6859980 10289970 20579940