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20359040 = 275132447
BaseRepresentation
bin100110110101…
…0011110000000
31102022100100112
41031222132000
520202442130
62004210452
7335022542
oct115523600
942270315
1020359040
1110546059
126999a28
1342aa990
1429bd692
151bc2495
hex136a780

20359040 has 64 divisors (see below), whose sum is σ = 52436160. Its totient is φ = 7514112.

The previous prime is 20359021. The next prime is 20359057. The reversal of 20359040 is 4095302.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 20358997 and 20359015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7097 + ... + 9543.

It is an arithmetic number, because the mean of its divisors is an integer number (819315).

Almost surely, 220359040 is an apocalyptic number.

20359040 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 20359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26218080).

20359040 is an abundant number, since it is smaller than the sum of its proper divisors (32077120).

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

20359040 is a wasteful number, since it uses less digits than its factorization.

20359040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479 (or 2467 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 20359040 is about 4512.0992896877. The cubic root of 20359040 is about 273.0564450994.

The spelling of 20359040 in words is "twenty million, three hundred fifty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 2447 4160 4894 8320 9788 12235 19576 24470 31811 39152 48940 63622 78304 97880 127244 156608 159055 195760 254488 313216 318110 391520 508976 636220 783040 1017952 1272440 1566080 2035904 2544880 4071808 5089760 10179520 20359040