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27986240 = 265194603
BaseRepresentation
bin110101011000…
…0100101000000
31221122211220102
41222300211000
524131024430
62435501532
7456610352
oct152604500
957584812
1027986240
1114885527
1294578a8
135a4b509
143a070d2
1526cc345
hex1ab0940

27986240 has 56 divisors (see below), whose sum is σ = 70164960. Its totient is φ = 10603008.

The previous prime is 27986219. The next prime is 27986261. The reversal of 27986240 is 4268972.

It is an interprime number because it is at equal distance from previous prime (27986219) and next prime (27986261).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 27986194 and 27986203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3779 + ... + 8381.

Almost surely, 227986240 is an apocalyptic number.

27986240 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 27986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35082480).

27986240 is an abundant number, since it is smaller than the sum of its proper divisors (42178720).

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

27986240 is a wasteful number, since it uses less digits than its factorization.

27986240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4639 (or 4629 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 27986240 is about 5290.2022645642. The cubic root of 27986240 is about 303.6091468177.

The spelling of 27986240 in words is "twenty-seven million, nine hundred eighty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 608 760 1216 1520 3040 4603 6080 9206 18412 23015 36824 46030 73648 87457 92060 147296 174914 184120 294592 349828 368240 437285 699656 736480 874570 1399312 1472960 1749140 2798624 3498280 5597248 6996560 13993120 27986240