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20823960 = 2335971789
BaseRepresentation
bin100111101101…
…1111110011000
31110011222002210
41033123332120
520312331320
62022155120
7342000153
oct117337630
943158083
1020823960
1110833393
126b82aa0
134411491
142aa0c9a
151c650e0
hex13dbf98

20823960 has 64 divisors (see below), whose sum is σ = 63151200. Its totient is φ = 5492736.

The previous prime is 20823937. The next prime is 20823967. The reversal of 20823960 is 6932802.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20823967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10746 + ... + 12534.

Almost surely, 220823960 is an apocalyptic number.

20823960 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 20823960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31575600).

20823960 is an abundant number, since it is smaller than the sum of its proper divisors (42327240).

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

20823960 is a wasteful number, since it uses less digits than its factorization.

20823960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 20823960 is about 4563.3277331351. The cubic root of 20823960 is about 275.1193311311.

The spelling of 20823960 in words is "twenty million, eight hundred twenty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 97 120 194 291 388 485 582 776 970 1164 1455 1789 1940 2328 2910 3578 3880 5367 5820 7156 8945 10734 11640 14312 17890 21468 26835 35780 42936 53670 71560 107340 173533 214680 347066 520599 694132 867665 1041198 1388264 1735330 2082396 2602995 3470660 4164792 5205990 6941320 10411980 20823960