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27129740 = 22511127971
BaseRepresentation
bin110011101111…
…1011110001100
31220001100000012
41213133132030
523421122430
62405252352
7446412311
oct147373614
956040005
1027129740
111434aa80
1291040b8
13580b701
143862d08
1525ad695
hex19df78c

27129740 has 48 divisors (see below), whose sum is σ = 62705664. Its totient is φ = 9777600.

The previous prime is 27129737. The next prime is 27129779. The reversal of 27129740 is 4792172.

It is a junction number, because it is equal to n+sod(n) for n = 27129697 and 27129706.

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, 27455 + ... + 28425.

It is an arithmetic number, because the mean of its divisors is an integer number (1306368).

Almost surely, 227129740 is an apocalyptic number.

27129740 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 27129740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31352832).

27129740 is an abundant number, since it is smaller than the sum of its proper divisors (35575924).

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

27129740 is a wasteful number, since it uses less digits than its factorization.

27129740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 27129740 is about 5208.6216986838. The cubic root of 27129740 is about 300.4797509064.

The spelling of 27129740 in words is "twenty-seven million, one hundred twenty-nine thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 127 220 254 508 635 971 1270 1397 1942 2540 2794 3884 4855 5588 6985 9710 10681 13970 19420 21362 27940 42724 53405 106810 123317 213620 246634 493268 616585 1233170 1356487 2466340 2712974 5425948 6782435 13564870 27129740