Search a number
-
+
270452144 = 24292101199
BaseRepresentation
bin10000000111101…
…100010110110000
3200211220101121002
4100013230112300
51023213432034
642500421132
76462543134
oct2007542660
9624811532
10270452144
11129732776
12766a77a8
1344053871
1427cc13c4
1518b23e7e
hex101ec5b0

270452144 has 60 divisors (see below), whose sum is σ = 550820400. Its totient is φ = 128620800.

The previous prime is 270452141. The next prime is 270452159. The reversal of 270452144 is 441254072.

270452144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (270452141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1358957 + ... + 1359155.

It is an arithmetic number, because the mean of its divisors is an integer number (9180340).

Almost surely, 2270452144 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 270452144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275410200).

270452144 is an abundant number, since it is smaller than the sum of its proper divisors (280368256).

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

270452144 is a wasteful number, since it uses less digits than its factorization.

270452144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 29.

The square root of 270452144 is about 16445.4292738134. The cubic root of 270452144 is about 646.6909890357.

The spelling of 270452144 in words is "two hundred seventy million, four hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 58 101 116 199 202 232 398 404 464 796 808 841 1592 1616 1682 2929 3184 3364 5771 5858 6728 11542 11716 13456 20099 23084 23432 40198 46168 46864 80396 84941 92336 160792 167359 169882 321584 334718 339764 582871 669436 679528 1165742 1338872 1359056 2331484 2677744 4662968 9325936 16903259 33806518 67613036 135226072 270452144