Search a number
-
+
270540832 = 2553269593
BaseRepresentation
bin10000001000000…
…010000000100000
3200212001220020211
4100020002000200
51023224301312
642502343504
76463362532
oct2010020040
9625056224
10270540832
11129793371
127672ab94
1344085043
1427d05852
1518b403a7
hex10202020

270540832 has 48 divisors (see below), whose sum is σ = 545612760. Its totient is φ = 132001792.

The previous prime is 270540769. The next prime is 270540953. The reversal of 270540832 is 238045072.

It can be written as a sum of positive squares in 4 ways, for example, as 212110096 + 58430736 = 14564^2 + 7644^2 .

It is a junction number, because it is equal to n+sod(n) for n = 270540794 and 270540803.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 455928 + ... + 456520.

Almost surely, 2270540832 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 270540832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272806380).

270540832 is an abundant number, since it is smaller than the sum of its proper divisors (275071928).

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

270540832 is a wasteful number, since it uses less digits than its factorization.

270540832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 270540832 is about 16448.1254859026. The cubic root of 270540832 is about 646.7616700090.

The spelling of 270540832 in words is "two hundred seventy million, five hundred forty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 53 106 212 269 424 538 593 848 1076 1186 1696 2152 2372 4304 4744 8608 9488 14257 18976 28514 31429 57028 62858 114056 125716 159517 228112 251432 319034 456224 502864 638068 1005728 1276136 2552272 5104544 8454401 16908802 33817604 67635208 135270416 270540832