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27148980 = 2235716373
BaseRepresentation
bin110011110010…
…0001010110100
31220002022101210
41213210022310
523422231410
62405521420
7446522355
oct147441264
956068353
1027148980
1114363481
129113270
1358173b1
143869d2c
1525b4220
hex19e42b4

27148980 has 48 divisors (see below), whose sum is σ = 77099904. Its totient is φ = 7136640.

The previous prime is 27148969. The next prime is 27148981. The reversal of 27148980 is 8984172.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27148981) 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, 1074 + ... + 7446.

It is an arithmetic number, because the mean of its divisors is an integer number (1606248).

Almost surely, 227148980 is an apocalyptic number.

27148980 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 27148980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38549952).

27148980 is an abundant number, since it is smaller than the sum of its proper divisors (49950924).

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

27148980 is a wasteful number, since it uses less digits than its factorization.

27148980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6456 (or 6454 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 27148980 is about 5210.4683090870. The cubic root of 27148980 is about 300.5507660150.

The spelling of 27148980 in words is "twenty-seven million, one hundred forty-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 4260 6373 12746 19119 25492 31865 38238 63730 76476 95595 127460 191190 382380 452483 904966 1357449 1809932 2262415 2714898 4524830 5429796 6787245 9049660 13574490 27148980