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20559040 = 265411567
BaseRepresentation
bin100111001101…
…1010011000000
31102200111200221
41032123103000
520230342130
62012352424
7336514615
oct116332300
942614627
1020559040
1110672347
126a75714
13434aa18
142a3250c
151c1187a
hex139b4c0

20559040 has 56 divisors (see below), whose sum is σ = 50182272. Its totient is φ = 8017920.

The previous prime is 20558981. The next prime is 20559041. The reversal of 20559040 is 4095502.

It is a junction number, because it is equal to n+sod(n) for n = 20558996 and 20559014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20559041) by changing a digit.

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, 12337 + ... + 13903.

It is an arithmetic number, because the mean of its divisors is an integer number (896112).

Almost surely, 220559040 is an apocalyptic number.

20559040 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 20559040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25091136).

20559040 is an abundant number, since it is smaller than the sum of its proper divisors (29623232).

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

20559040 is a wasteful number, since it uses less digits than its factorization.

20559040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 20559040 is about 4534.2077588042. The cubic root of 20559040 is about 273.9476696908.

The spelling of 20559040 in words is "twenty million, five hundred fifty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 410 656 820 1312 1567 1640 2624 3134 3280 6268 6560 7835 12536 13120 15670 25072 31340 50144 62680 64247 100288 125360 128494 250720 256988 321235 501440 513976 642470 1027952 1284940 2055904 2569880 4111808 5139760 10279520 20559040