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515150132 = 227210924113
BaseRepresentation
bin11110101101001…
…001000100110100
31022220100100010112
4132231021010310
52023334301012
6123041242152
715523463300
oct3655110464
91286310115
10515150132
11244874a12
12124633358
138295ab83
144c5bad00
153035c122
hex1eb49134

515150132 has 36 divisors (see below), whose sum is σ = 1058363460. Its totient is φ = 218744064.

The previous prime is 515150131. The next prime is 515150161. The reversal of 515150132 is 231051515.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 351412516 + 163737616 = 18746^2 + 12796^2 .

It is a junction number, because it is equal to n+sod(n) for n = 515150098 and 515150107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (515150131) 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, 9308 + ... + 33420.

It is an arithmetic number, because the mean of its divisors is an integer number (29398985).

Almost surely, 2515150132 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 515150132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529181730).

515150132 is an abundant number, since it is smaller than the sum of its proper divisors (543213328).

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

515150132 is a wasteful number, since it uses less digits than its factorization.

515150132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24240 (or 24231 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The square root of 515150132 is about 22696.9189979609. The cubic root of 515150132 is about 801.6373403595.

The spelling of 515150132 in words is "five hundred fifteen million, one hundred fifty thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 109 196 218 436 763 1526 3052 5341 10682 21364 24113 48226 96452 168791 337582 675164 1181537 2363074 2628317 4726148 5256634 10513268 18398219 36796438 73592876 128787533 257575066 515150132