Search a number
-
+
27027280 = 2457172167
BaseRepresentation
bin110011100011…
…0011101010000
31212212010110101
41213012131100
523404333110
62403142144
7445504510
oct147063520
955763411
1027027280
111428aaa5
129074954
1357a3b97
143837840
15258d13a
hex19c6750

27027280 has 120 divisors (see below), whose sum is σ = 76745088. Its totient is φ = 8669184.

The previous prime is 27027269. The next prime is 27027283. The reversal of 27027280 is 8272072.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27027283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161757 + ... + 161923.

Almost surely, 227027280 is an apocalyptic number.

27027280 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 27027280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38372544).

27027280 is an abundant number, since it is smaller than the sum of its proper divisors (49717808).

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

27027280 is a wasteful number, since it uses less digits than its factorization.

27027280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 27027280 is about 5198.7767792049. The cubic root of 27027280 is about 300.1010030278.

The spelling of 27027280 in words is "twenty-seven million, twenty-seven thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 167 170 238 272 280 289 334 340 476 560 578 595 668 680 835 952 1156 1169 1190 1336 1360 1445 1670 1904 2023 2312 2338 2380 2672 2839 2890 3340 4046 4624 4676 4760 5678 5780 5845 6680 8092 9352 9520 10115 11356 11560 11690 13360 14195 16184 18704 19873 20230 22712 23120 23380 28390 32368 39746 40460 45424 46760 48263 56780 79492 80920 93520 96526 99365 113560 158984 161840 193052 198730 227120 241315 317968 337841 386104 397460 482630 675682 772208 794920 965260 1351364 1589840 1689205 1930520 2702728 3378410 3861040 5405456 6756820 13513640 27027280