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27713340 = 2234517107
BaseRepresentation
bin110100110110…
…1111100111100
31221010222120000
41221231330330
524043311330
62425554300
7454362624
oct151557474
957128500
1027713340
1114709496
129345990
135984235
143975884
152676560
hex1a6df3c

27713340 has 60 divisors (see below), whose sum is σ = 86942856. Its totient is φ = 7389792.

The previous prime is 27713327. The next prime is 27713347. The reversal of 27713340 is 4331772.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27713347) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6934 + ... + 10173.

Almost surely, 227713340 is an apocalyptic number.

27713340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27713340 is an abundant number, since it is smaller than the sum of its proper divisors (59229516).

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

27713340 is a wasteful number, since it uses less digits than its factorization.

27713340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17128 (or 17117 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 27713340 is about 5264.3461132414. The cubic root of 27713340 is about 302.6190683967.

The spelling of 27713340 in words is "twenty-seven million, seven hundred thirteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 17107 34214 51321 68428 85535 102642 153963 171070 205284 256605 307926 342140 461889 513210 615852 769815 923778 1026420 1385667 1539630 1847556 2309445 2771334 3079260 4618890 5542668 6928335 9237780 13856670 27713340