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254142520 = 235172511489
BaseRepresentation
bin11110010010111…
…10100000111000
3122201012202222221
433021132200320
51010030030040
641115053424
76204114202
oct1711364070
9581182887
10254142520
11120503045
1271141274
13408630b8
1425a77772
15174a174a
hexf25e838

254142520 has 64 divisors (see below), whose sum is σ = 608277600. Its totient is φ = 95232000.

The previous prime is 254142491. The next prime is 254142521. The reversal of 254142520 is 25241452.

254142520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254142521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169936 + ... + 171424.

Almost surely, 2254142520 is an apocalyptic number.

254142520 is a gapful number since it is divisible by the number (20) 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 254142520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304138800).

254142520 is an abundant number, since it is smaller than the sum of its proper divisors (354135080).

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

254142520 is a wasteful number, since it uses less digits than its factorization.

254142520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 254142520 is about 15941.8480735453. The cubic root of 254142520 is about 633.4209801753.

Adding to 254142520 its reverse (25241452), we get a palindrome (279383972).

The spelling of 254142520 in words is "two hundred fifty-four million, one hundred forty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 251 340 502 680 1004 1255 1489 2008 2510 2978 4267 5020 5956 7445 8534 10040 11912 14890 17068 21335 25313 29780 34136 42670 50626 59560 85340 101252 126565 170680 202504 253130 373739 506260 747478 1012520 1494956 1868695 2989912 3737390 6353563 7474780 12707126 14949560 25414252 31767815 50828504 63535630 127071260 254142520