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20386240 = 265719479
BaseRepresentation
bin100110111000…
…1000111000000
31102100201122221
41031301013000
520204324430
62004540424
7335165050
oct115610700
942321587
1020386240
1110564536
1269b1714
1342ba184
1429c9560
151bca57a
hex13711c0

20386240 has 112 divisors (see below), whose sum is σ = 58521600. Its totient is φ = 6607872.

The previous prime is 20386237. The next prime is 20386241. The reversal of 20386240 is 4268302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20386241) 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, 42321 + ... + 42799.

Almost surely, 220386240 is an apocalyptic number.

20386240 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 20386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29260800).

20386240 is an abundant number, since it is smaller than the sum of its proper divisors (38135360).

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

20386240 is a wasteful number, since it uses less digits than its factorization.

20386240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 20386240 is about 4515.1124017016. The cubic root of 20386240 is about 273.1779935642.

The spelling of 20386240 in words is "twenty million, three hundred eighty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 76 80 95 112 133 140 152 160 190 224 266 280 304 320 380 448 479 532 560 608 665 760 958 1064 1120 1216 1330 1520 1916 2128 2240 2395 2660 3040 3353 3832 4256 4790 5320 6080 6706 7664 8512 9101 9580 10640 13412 15328 16765 18202 19160 21280 26824 30656 33530 36404 38320 42560 45505 53648 63707 67060 72808 76640 91010 107296 127414 134120 145616 153280 182020 214592 254828 268240 291232 318535 364040 509656 536480 582464 637070 728080 1019312 1072960 1274140 1456160 2038624 2548280 2912320 4077248 5096560 10193120 20386240