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152731540 = 22513587429
BaseRepresentation
bin10010001101001…
…11111110010100
3101122101120021201
421012213332110
5303044402130
623053322244
73533124313
oct1106477624
9348346251
10152731540
1179238515
1243196384
13258472c0
14163da27a
15d61dbca
hex91a7f94

152731540 has 24 divisors (see below), whose sum is σ = 345408840. Its totient is φ = 56393088.

The previous prime is 152731499. The next prime is 152731541. The reversal of 152731540 is 45137251.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 110224 + 152621316 = 332^2 + 12354^2 .

It is a junction number, because it is equal to n+sod(n) for n = 152731499 and 152731508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152731541) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 293455 + ... + 293974.

It is an arithmetic number, because the mean of its divisors is an integer number (14392035).

Almost surely, 2152731540 is an apocalyptic number.

152731540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152731540 is an abundant number, since it is smaller than the sum of its proper divisors (192677300).

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

152731540 is a wasteful number, since it uses less digits than its factorization.

152731540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587451 (or 587449 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 152731540 is about 12358.4602600809. The cubic root of 152731540 is about 534.5351189179.

Adding to 152731540 its reverse (45137251), we get a palindrome (197868791).

The spelling of 152731540 in words is "one hundred fifty-two million, seven hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 587429 1174858 2349716 2937145 5874290 7636577 11748580 15273154 30546308 38182885 76365770 152731540