Search a number
-
+
27319040 = 28573049
BaseRepresentation
bin110100000110…
…1101100000000
31220101221200022
41220031230000
523443202130
62413313012
7451131230
oct150155400
956357608
1027319040
111446a221
129195768
135876918
1438b1cc0
1525e97e5
hex1a0db00

27319040 has 72 divisors (see below), whose sum is σ = 74810400. Its totient is φ = 9363456.

The previous prime is 27319021. The next prime is 27319043. The reversal of 27319040 is 4091372.

It is not an unprimeable number, because it can be changed into a prime (27319043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7436 + ... + 10484.

Almost surely, 227319040 is an apocalyptic number.

27319040 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 27319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37405200).

27319040 is an abundant number, since it is smaller than the sum of its proper divisors (47491360).

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

27319040 is an equidigital number, since it uses as much as digits as its factorization.

27319040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3077 (or 3063 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 27319040 is about 5226.7619038942. The cubic root of 27319040 is about 301.1770057818.

The spelling of 27319040 in words is "twenty-seven million, three hundred nineteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 3049 4480 6098 8960 12196 15245 21343 24392 30490 42686 48784 60980 85372 97568 106715 121960 170744 195136 213430 243920 341488 390272 426860 487840 682976 780544 853720 975680 1365952 1707440 1951360 2731904 3414880 3902720 5463808 6829760 13659520 27319040