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20392560 = 243551049
BaseRepresentation
bin100110111001…
…0101001110000
31102101001100000
41031302221300
520210030220
62005030000
7335222346
oct115625160
942331300
1020392560
1110569261
1269b5300
1342c0006
1429cb996
151bcc390
hex1372a70

20392560 has 120 divisors (see below), whose sum is σ = 71089200. Its totient is φ = 5432832.

The previous prime is 20392523. The next prime is 20392577. The reversal of 20392560 is 6529302.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18916 + ... + 19964.

It is an arithmetic number, because the mean of its divisors is an integer number (592410).

Almost surely, 220392560 is an apocalyptic number.

20392560 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 20392560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35544600).

20392560 is an abundant number, since it is smaller than the sum of its proper divisors (50696640).

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

20392560 is a wasteful number, since it uses less digits than its factorization.

20392560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 20392560 is about 4515.8122193023. The cubic root of 20392560 is about 273.2062202266.

The spelling of 20392560 in words is "twenty million, three hundred ninety-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1049 1080 1215 1296 1620 1944 2098 2160 2430 3147 3240 3888 4196 4860 5245 6294 6480 8392 9441 9720 10490 12588 15735 16784 18882 19440 20980 25176 28323 31470 37764 41960 47205 50352 56646 62940 75528 83920 84969 94410 113292 125880 141615 151056 169938 188820 226584 251760 254907 283230 339876 377640 424845 453168 509814 566460 679752 755280 849690 1019628 1132920 1274535 1359504 1699380 2039256 2265840 2549070 3398760 4078512 5098140 6797520 10196280 20392560