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20556240 = 243597883
BaseRepresentation
bin100111001101…
…0100111010000
31102200100212020
41032122213100
520230244430
62012331440
7336503505
oct116324720
942610766
1020556240
1110670231
126a73b80
134349673
142a314ac
151c10b10
hex139a9d0

20556240 has 80 divisors (see below), whose sum is σ = 64454208. Its totient is φ = 5419008.

The previous prime is 20556223. The next prime is 20556269. The reversal of 20556240 is 4265502.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20556240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22839 + ... + 23721.

Almost surely, 220556240 is an apocalyptic number.

20556240 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 20556240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32227104).

20556240 is an abundant number, since it is smaller than the sum of its proper divisors (43897968).

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

20556240 is a wasteful number, since it uses less digits than its factorization.

20556240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 20556240 is about 4533.8989843180. The cubic root of 20556240 is about 273.9352325294.

The spelling of 20556240 in words is "twenty million, five hundred fifty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 97 120 194 240 291 388 485 582 776 883 970 1164 1455 1552 1766 1940 2328 2649 2910 3532 3880 4415 4656 5298 5820 7064 7760 8830 10596 11640 13245 14128 17660 21192 23280 26490 35320 42384 52980 70640 85651 105960 171302 211920 256953 342604 428255 513906 685208 856510 1027812 1284765 1370416 1713020 2055624 2569530 3426040 4111248 5139060 6852080 10278120 20556240