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20968500 = 2235371997
BaseRepresentation
bin100111111111…
…1010000110100
31110110022101010
41033333100310
520331443000
62025232220
7343141440
oct117772064
943408333
1020968500
1110921a43
127032670
1344621c7
142adb820
151c92d50
hex13ff434

20968500 has 96 divisors (see below), whose sum is σ = 69818112. Its totient is φ = 4790400.

The previous prime is 20968499. The next prime is 20968511. The reversal of 20968500 is 586902.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 9502 + ... + 11498.

It is an arithmetic number, because the mean of its divisors is an integer number (727272).

Almost surely, 220968500 is an apocalyptic number.

20968500 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 20968500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34909056).

20968500 is an abundant number, since it is smaller than the sum of its proper divisors (48849612).

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

20968500 is a wasteful number, since it uses less digits than its factorization.

20968500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 20968500 is about 4579.1374733677. The cubic root of 20968500 is about 275.7544023987.

The spelling of 20968500 in words is "twenty million, nine hundred sixty-eight thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 125 140 150 175 210 250 300 350 375 420 500 525 700 750 875 1050 1500 1750 1997 2100 2625 3500 3994 5250 5991 7988 9985 10500 11982 13979 19970 23964 27958 29955 39940 41937 49925 55916 59910 69895 83874 99850 119820 139790 149775 167748 199700 209685 249625 279580 299550 349475 419370 499250 599100 698950 748875 838740 998500 1048425 1397900 1497750 1747375 2096850 2995500 3494750 4193700 5242125 6989500 10484250 20968500