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270396 = 223272937
BaseRepresentation
bin1000010000000111100
3111201220200
41002000330
532123041
65443500
72204220
oct1020074
9451820
10270396
11175175
12110590
13960c9
1470780
15551b6
hex4203c

270396 has 72 divisors (see below), whose sum is σ = 829920. Its totient is φ = 72576.

The previous prime is 270379. The next prime is 270407. The reversal of 270396 is 693072.

270396 is a `hidden beast` number, since 270 + 396 = 666.

270396 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2703962 = 146227993632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

270396 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7290 + ... + 7326.

2270396 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 270396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414960).

270396 is an abundant number, since it is smaller than the sum of its proper divisors (559524).

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

270396 is a wasteful number, since it uses less digits than its factorization.

270396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 270396 is about 519.9961538319. The cubic root of 270396 is about 64.6646236409.

It can be divided in two parts, 270 and 396, that added together give a palindrome (666).

The spelling of 270396 in words is "two hundred seventy thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 37 42 58 63 74 84 87 111 116 126 148 174 203 222 252 259 261 333 348 406 444 518 522 609 666 777 812 1036 1044 1073 1218 1332 1554 1827 2146 2331 2436 3108 3219 3654 4292 4662 6438 7308 7511 9324 9657 12876 15022 19314 22533 30044 38628 45066 67599 90132 135198 270396