Search a number
-
+
270724212 = 2232115312899
BaseRepresentation
bin10000001000101…
…110110001110100
3200212102012210200
4100020232301310
51023301133322
642510320500
76465055263
oct2010566164
9625365720
10270724212
111298a9120
12767b9130
134411a655
1427d525da
1518b798ac
hex1022ec74

270724212 has 72 divisors (see below), whose sum is σ = 760687200. Its totient is φ = 80483520.

The previous prime is 270724211. The next prime is 270724241. The reversal of 270724212 is 212427072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270724211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14539 + ... + 27437.

It is an arithmetic number, because the mean of its divisors is an integer number (10565100).

Almost surely, 2270724212 is an apocalyptic number.

270724212 is a gapful number since it is divisible by the number (22) 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 270724212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380343600).

270724212 is an abundant number, since it is smaller than the sum of its proper divisors (489962988).

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

270724212 is a wasteful number, since it uses less digits than its factorization.

270724212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12973 (or 12968 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 270724212 is about 16453.6990369947. The cubic root of 270724212 is about 646.9077679403.

The spelling of 270724212 in words is "two hundred seventy million, seven hundred twenty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 53 66 99 106 132 159 198 212 318 396 477 583 636 954 1166 1749 1908 2332 3498 5247 6996 10494 12899 20988 25798 38697 51596 77394 116091 141889 154788 232182 283778 425667 464364 567556 683647 851334 1277001 1367294 1702668 2050941 2554002 2734588 4101882 5108004 6152823 7520117 8203764 12305646 15040234 22560351 24611292 30080468 45120702 67681053 90241404 135362106 270724212