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20949300 = 2233527759
BaseRepresentation
bin100111111101…
…0100100110100
31110102100001000
41033322210310
520330334200
62025003300
7343031451
oct117724464
943370030
1020949300
1110909579
127023530
134456548
142ad4828
151c8c300
hex13fa934

20949300 has 72 divisors (see below), whose sum is σ = 67356800. Its totient is φ = 5585760.

The previous prime is 20949259. The next prime is 20949301. The reversal of 20949300 is 394902.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20949301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1180 + ... + 6579.

Almost surely, 220949300 is an apocalyptic number.

20949300 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 20949300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33678400).

20949300 is an abundant number, since it is smaller than the sum of its proper divisors (46407500).

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

20949300 is a wasteful number, since it uses less digits than its factorization.

20949300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7782 (or 7769 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 20949300 is about 4577.0405285512. The cubic root of 20949300 is about 275.6702110111.

The spelling of 20949300 in words is "twenty million, nine hundred forty-nine thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 7759 15518 23277 31036 38795 46554 69831 77590 93108 116385 139662 155180 193975 209493 232770 279324 349155 387950 418986 465540 581925 698310 775900 837972 1047465 1163850 1396620 1745775 2094930 2327700 3491550 4189860 5237325 6983100 10474650 20949300