Search a number
-
+
27169120 = 2551143359
BaseRepresentation
bin110011110100…
…1000101100000
31220010100000201
41213221011200
523423402440
62410154544
7446635156
oct147510540
956110021
1027169120
1114377620
129122a54
135823604
1438733d6
1525ba19a
hex19e9160

27169120 has 96 divisors (see below), whose sum is σ = 71850240. Its totient is φ = 9623040.

The previous prime is 27169117. The next prime is 27169133. The reversal of 27169120 is 2196172.

It is a happy number.

It is a super-2 number, since 2×271691202 = 1476322163148800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75501 + ... + 75859.

It is an arithmetic number, because the mean of its divisors is an integer number (748440).

Almost surely, 227169120 is an apocalyptic number.

27169120 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 27169120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35925120).

27169120 is an abundant number, since it is smaller than the sum of its proper divisors (44681120).

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

27169120 is a wasteful number, since it uses less digits than its factorization.

27169120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 27169120 is about 5212.4005985726. The cubic root of 27169120 is about 300.6250671029.

The spelling of 27169120 in words is "twenty-seven million, one hundred sixty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 43 44 55 80 86 88 110 160 172 176 215 220 344 352 359 430 440 473 688 718 860 880 946 1376 1436 1720 1760 1795 1892 2365 2872 3440 3590 3784 3949 4730 5744 6880 7180 7568 7898 9460 11488 14360 15136 15437 15796 18920 19745 28720 30874 31592 37840 39490 57440 61748 63184 75680 77185 78980 123496 126368 154370 157960 169807 246992 308740 315920 339614 493984 617480 631840 679228 849035 1234960 1358456 1698070 2469920 2716912 3396140 5433824 6792280 13584560 27169120