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242540727 = 311132347523
BaseRepresentation
bin11100111010011…
…10000010110111
3121220101100022220
432131032002313
5444042300402
640022253423
76003363552
oct1635160267
9556340286
10242540727
111149a9490
1269287273
133b330430
14242d7699
151645ddbc
hexe74e0b7

242540727 has 64 divisors (see below), whose sum is σ = 405651456. Its totient is φ = 126783360.

The previous prime is 242540723. The next prime is 242540729. The reversal of 242540727 is 727045242.

It is a happy number.

It is not a de Polignac number, because 242540727 - 22 = 242540723 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242540723) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 463488 + ... + 464010.

It is an arithmetic number, because the mean of its divisors is an integer number (6338304).

Almost surely, 2242540727 is an apocalyptic number.

242540727 is a deficient number, since it is larger than the sum of its proper divisors (163110729).

242540727 is a wasteful number, since it uses less digits than its factorization.

242540727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620.

The product of its (nonzero) digits is 31360, while the sum is 33.

The square root of 242540727 is about 15573.7191126590. The cubic root of 242540727 is about 623.6317605658.

Adding to 242540727 its reverse (727045242), we get a palindrome (969585969).

The spelling of 242540727 in words is "two hundred forty-two million, five hundred forty thousand, seven hundred twenty-seven".

Divisors: 1 3 11 13 23 33 39 47 69 141 143 253 299 429 517 523 611 759 897 1081 1551 1569 1833 3243 3289 5753 6721 6799 9867 11891 12029 14053 17259 20163 20397 24581 35673 36087 42159 73743 74789 132319 154583 156377 224367 270391 319553 396957 463749 469131 565363 811173 958659 1696089 1720147 3515083 5160441 6218993 7349719 10545249 18656979 22049157 80846909 242540727