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27000090 = 23251347491
BaseRepresentation
bin110011011111…
…1110100011010
31212210202011100
41212333310122
523403000330
62402412230
7445332315
oct146776432
955722140
1027000090
1114271627
129061076
1357946b0
14382b97c
152585060
hex19bfd1a

27000090 has 96 divisors (see below), whose sum is σ = 77366016. Its totient is φ = 6491520.

The previous prime is 27000089. The next prime is 27000109. The reversal of 27000090 is 9000072.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 54745 + ... + 55235.

It is an arithmetic number, because the mean of its divisors is an integer number (805896).

Almost surely, 227000090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27000090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38683008).

27000090 is an abundant number, since it is smaller than the sum of its proper divisors (50365926).

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

27000090 is a wasteful number, since it uses less digits than its factorization.

27000090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 27000090 is about 5196.1610829535. The cubic root of 27000090 is about 300.0003333330. Note that the first 3 decimals are identical.

Subtracting from 27000090 its sum of digits (18), we obtain a palindrome (27000072).

It can be divided in two parts, 270000 and 90, that multiplied together give a 5-th power (24300000 = 305).

The spelling of 27000090 in words is "twenty-seven million, ninety", and thus it is an aban number and an uban number.

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 47 65 78 90 94 117 130 141 195 234 235 282 390 423 470 491 585 611 705 846 982 1170 1222 1410 1473 1833 2115 2455 2946 3055 3666 4230 4419 4910 5499 6110 6383 7365 8838 9165 10998 12766 14730 18330 19149 22095 23077 27495 31915 38298 44190 46154 54990 57447 63830 69231 95745 114894 115385 138462 191490 207693 230770 287235 300001 346155 415386 574470 600002 692310 900003 1038465 1500005 1800006 2076930 2700009 3000010 4500015 5400018 9000030 13500045 27000090