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132510015 = 3251123103113
BaseRepresentation
bin1111110010111…
…11000100111111
3100020100012120100
413321133010333
5232410310030
621052052143
73166213401
oct771370477
9306305510
10132510015
1168886810
1238464053
13215b70c1
1413854b71
15b977360
hex7e5f13f

132510015 has 96 divisors (see below), whose sum is σ = 266333184. Its totient is φ = 60318720.

The previous prime is 132510013. The next prime is 132510029. The reversal of 132510015 is 510015231.

It is not a de Polignac number, because 132510015 - 21 = 132510013 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 132510015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132510011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1172599 + ... + 1172711.

It is an arithmetic number, because the mean of its divisors is an integer number (2774304).

Almost surely, 2132510015 is an apocalyptic number.

132510015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132510015 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

132510015 is a wasteful number, since it uses less digits than its factorization.

132510015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 132510015 is about 11511.2994488025. The cubic root of 132510015 is about 509.8192554440.

Adding to 132510015 its reverse (510015231), we get a palindrome (642525246).

It can be divided in two parts, 1 and 32510015, that added together give a triangular number (32510016 = T8063).

The spelling of 132510015 in words is "one hundred thirty-two million, five hundred ten thousand, fifteen".

Divisors: 1 3 5 9 11 15 23 33 45 55 69 99 103 113 115 165 207 253 309 339 345 495 515 565 759 927 1017 1035 1133 1243 1265 1545 1695 2277 2369 2599 3399 3729 3795 4635 5085 5665 6215 7107 7797 10197 11187 11385 11639 11845 12995 16995 18645 21321 23391 26059 28589 34917 35535 38985 50985 55935 58195 78177 85767 104751 106605 116955 128029 130295 142945 174585 234531 257301 267697 384087 390885 428835 523755 640145 803091 1152261 1172655 1286505 1338485 1920435 2409273 2944667 4015455 5761305 8834001 12046365 14723335 26502003 44170005 132510015