Search a number
-
+
15141152 = 2513172141
BaseRepresentation
bin111001110000…
…100100100000
31001111020202102
4321300210200
512334004102
61300305532
7242461205
oct71604440
931436672
1015141152
118601854
1250a22a8
1331a1980
142021cac
1514e1402
hexe70920

15141152 has 48 divisors (see below), whose sum is σ = 34006392. Its totient is φ = 6574080.

The previous prime is 15141151. The next prime is 15141163. The reversal of 15141152 is 25114151.

It can be written as a sum of positive squares in 4 ways, for example, as 14776336 + 364816 = 3844^2 + 604^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15141151) 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, 6002 + ... + 8142.

Almost surely, 215141152 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 15141152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17003196).

15141152 is an abundant number, since it is smaller than the sum of its proper divisors (18865240).

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

15141152 is a wasteful number, since it uses less digits than its factorization.

15141152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2173 counting only the distinct ones).

The product of its digits is 200, while the sum is 20.

The square root of 15141152 is about 3891.1633221956. The cubic root of 15141152 is about 247.3923730256.

The spelling of 15141152 in words is "fifteen million, one hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1768 2141 3536 4282 7072 8564 17128 27833 34256 36397 55666 68512 72794 111332 145588 222664 291176 445328 473161 582352 890656 946322 1164704 1892644 3785288 7570576 15141152