Search a number
-
+
27699144 = 23311239439
BaseRepresentation
bin110100110101…
…0011111001000
31221010021002020
41221222133020
524042333034
62425404440
7454303344
oct151523710
957107066
1027699144
11146a9860
129339720
13597a935
143970624
152672249
hex1a6a7c8

27699144 has 64 divisors (see below), whose sum is σ = 76032000. Its totient is φ = 8339520.

The previous prime is 27699127. The next prime is 27699157. The reversal of 27699144 is 44199672.

It is a junction number, because it is equal to n+sod(n) for n = 27699096 and 27699105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62877 + ... + 63315.

It is an arithmetic number, because the mean of its divisors is an integer number (1188000).

Almost surely, 227699144 is an apocalyptic number.

27699144 is a gapful number since it is divisible by the number (24) 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 27699144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38016000).

27699144 is an abundant number, since it is smaller than the sum of its proper divisors (48332856).

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

27699144 is a wasteful number, since it uses less digits than its factorization.

27699144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 694 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 27699144 is about 5262.9976249282. The cubic root of 27699144 is about 302.5673879420.

The spelling of 27699144 in words is "twenty-seven million, six hundred ninety-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 239 264 439 478 717 878 956 1317 1434 1756 1912 2629 2634 2868 3512 4829 5258 5268 5736 7887 9658 10516 10536 14487 15774 19316 21032 28974 31548 38632 57948 63096 104921 115896 209842 314763 419684 629526 839368 1154131 1259052 2308262 2518104 3462393 4616524 6924786 9233048 13849572 27699144