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27874890 = 23253197103
BaseRepresentation
bin110101001010…
…1011001001010
31221110012011100
41222111121022
524113444030
62433242230
7455634621
oct152253112
957405140
1027874890
11148098aa
129403376
135a0c924
1439b86b8
1526a9360
hex1a9564a

27874890 has 96 divisors (see below), whose sum is σ = 76317696. Its totient is φ = 7050240.

The previous prime is 27874877. The next prime is 27874907. The reversal of 27874890 is 9847872.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270579 + ... + 270681.

It is an arithmetic number, because the mean of its divisors is an integer number (794976).

Almost surely, 227874890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27874890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38158848).

27874890 is an abundant number, since it is smaller than the sum of its proper divisors (48442806).

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

27874890 is a wasteful number, since it uses less digits than its factorization.

27874890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 27874890 is about 5279.6676031735. The cubic root of 27874890 is about 303.2059508884.

The spelling of 27874890 in words is "twenty-seven million, eight hundred seventy-four thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 97 103 155 186 194 206 279 291 309 310 465 485 515 558 582 618 873 927 930 970 1030 1395 1455 1545 1746 1854 2790 2910 3007 3090 3193 4365 4635 6014 6386 8730 9021 9270 9579 9991 15035 15965 18042 19158 19982 27063 28737 29973 30070 31930 45105 47895 49955 54126 57474 59946 89919 90210 95790 99910 135315 143685 149865 179838 270630 287370 299730 309721 449595 619442 899190 929163 1548605 1858326 2787489 3097210 4645815 5574978 9291630 13937445 27874890