Search a number
-
+
27266140 = 22511219593
BaseRepresentation
bin110100000000…
…0110001011100
31220022021010001
41220000301130
523440004030
62412224044
7450521056
oct150006134
956267101
1027266140
1114433500
12916b024
135858815
14389a8d6
1525d8cca
hex1a00c5c

27266140 has 72 divisors (see below), whose sum is σ = 66361680. Its totient is φ = 9377280.

The previous prime is 27266131. The next prime is 27266191. The reversal of 27266140 is 4166272.

It is a junction number, because it is equal to n+sod(n) for n = 27266099 and 27266108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45684 + ... + 46276.

It is an arithmetic number, because the mean of its divisors is an integer number (921690).

Almost surely, 227266140 is an apocalyptic number.

27266140 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 27266140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33180840).

27266140 is an abundant number, since it is smaller than the sum of its proper divisors (39095540).

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

27266140 is a wasteful number, since it uses less digits than its factorization.

27266140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 27266140 is about 5221.6989572360. The cubic root of 27266140 is about 300.9824826176.

The spelling of 27266140 in words is "twenty-seven million, two hundred sixty-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 121 190 209 220 242 380 418 484 593 605 836 1045 1186 1210 2090 2299 2372 2420 2965 4180 4598 5930 6523 9196 11267 11495 11860 13046 22534 22990 26092 32615 45068 45980 56335 65230 71753 112670 123937 130460 143506 225340 247874 287012 358765 495748 619685 717530 1239370 1363307 1435060 2478740 2726614 5453228 6816535 13633070 27266140