Search a number
-
+
270131292 = 2232171932287
BaseRepresentation
bin10000000110011…
…110000001011100
3200211022002110200
4100012132001130
51023123200132
642445503500
76460035534
oct2006360134
9624262420
10270131292
11129533702
1276571b90
1343c70802
1427c3a4c4
1518aadd7c
hex1019e05c

270131292 has 72 divisors (see below), whose sum is σ = 727062336. Its totient is φ = 84271104.

The previous prime is 270131291. The next prime is 270131293. The reversal of 270131292 is 292131072.

It is an interprime number because it is at equal distance from previous prime (270131291) and next prime (270131293).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270131291) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 116973 + ... + 119259.

It is an arithmetic number, because the mean of its divisors is an integer number (10098088).

Almost surely, 2270131292 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270131292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363531168).

270131292 is an abundant number, since it is smaller than the sum of its proper divisors (456931044).

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

270131292 is a wasteful number, since it uses less digits than its factorization.

270131292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 270131292 is about 16435.6713279379. The cubic root of 270131292 is about 646.4351530108.

The spelling of 270131292 in words is "two hundred seventy million, one hundred thirty-one thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 193 204 306 386 579 612 772 1158 1737 2287 2316 3281 3474 4574 6562 6861 6948 9148 9843 13124 13722 19686 20583 27444 29529 38879 39372 41166 59058 77758 82332 116637 118116 155516 233274 349911 441391 466548 699822 882782 1324173 1399644 1765564 2648346 3972519 5296692 7503647 7945038 15007294 15890076 22510941 30014588 45021882 67532823 90043764 135065646 270131292