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20434860 = 223251071061
BaseRepresentation
bin100110111110…
…0111110101100
31102110012100200
41031330332230
520212403420
62005553500
7335456565
oct115747654
942405320
1020434860
1110598016
126a15890
134306344
1429dd16c
151bd9b90
hex137cfac

20434860 has 72 divisors (see below), whose sum is σ = 62624016. Its totient is φ = 5393280.

The previous prime is 20434853. The next prime is 20434871. The reversal of 20434860 is 6843402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18730 + ... + 19790.

It is an arithmetic number, because the mean of its divisors is an integer number (869778).

Almost surely, 220434860 is an apocalyptic number.

20434860 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 20434860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31312008).

20434860 is an abundant number, since it is smaller than the sum of its proper divisors (42189156).

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

20434860 is a wasteful number, since it uses less digits than its factorization.

20434860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 20434860 is about 4520.4933359093. The cubic root of 20434860 is about 273.3949923691.

It can be divided in two parts, 2043 and 4860, that added together give a triangular number (6903 = T117).

The spelling of 20434860 in words is "twenty million, four hundred thirty-four thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 180 214 321 428 535 642 963 1061 1070 1284 1605 1926 2122 2140 3183 3210 3852 4244 4815 5305 6366 6420 9549 9630 10610 12732 15915 19098 19260 21220 31830 38196 47745 63660 95490 113527 190980 227054 340581 454108 567635 681162 1021743 1135270 1362324 1702905 2043486 2270540 3405810 4086972 5108715 6811620 10217430 20434860