Search a number
-
+
27014820 = 22357131491
BaseRepresentation
bin110011100001…
…1011010100100
31212211111100220
41213003122210
523403433240
62403004340
7445423260
oct147033244
955744326
1027014820
11142816a8
1290696b0
13579b301
1438330a0
1525895d0
hex19c36a4

27014820 has 96 divisors (see below), whose sum is σ = 87284736. Its totient is φ = 6115200.

The previous prime is 27014759. The next prime is 27014821. The reversal of 27014820 is 2841072.

It is not an unprimeable number, because it can be changed into a prime (27014821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54775 + ... + 55265.

It is an arithmetic number, because the mean of its divisors is an integer number (909216).

Almost surely, 227014820 is an apocalyptic number.

27014820 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 27014820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43642368).

27014820 is an abundant number, since it is smaller than the sum of its proper divisors (60269916).

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

27014820 is a wasteful number, since it uses less digits than its factorization.

27014820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 27014820 is about 5197.5782822388. The cubic root of 27014820 is about 300.0548788493.

Adding to 27014820 its reverse (2841072), we get a palindrome (29855892).

The spelling of 27014820 in words is "twenty-seven million, fourteen thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 131 140 210 262 393 420 491 524 655 786 917 982 1310 1473 1572 1834 1964 1965 2455 2620 2751 2946 3437 3668 3930 4585 4910 5502 5892 6874 7365 7860 9170 9820 10311 11004 13748 13755 14730 17185 18340 20622 27510 29460 34370 41244 51555 55020 64321 68740 103110 128642 192963 206220 257284 321605 385926 450247 643210 771852 900494 964815 1286420 1350741 1800988 1929630 2251235 2701482 3859260 4502470 5402964 6753705 9004940 13507410 27014820