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132130215 = 32572311933
BaseRepresentation
bin1111110000000…
…10010110100111
3100012121220120200
413320002112213
5232311131330
621040001543
73163042200
oct770022647
9305556520
10132130215
1168647428
12383002b3
13214b3279
14137965a7
15b8eea60
hex7e025a7

132130215 has 72 divisors (see below), whose sum is σ = 275154048. Its totient is φ = 58423680.

The previous prime is 132130213. The next prime is 132130241. The reversal of 132130215 is 512031231.

It is not a de Polignac number, because 132130215 - 21 = 132130213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132130213) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67389 + ... + 69321.

It is an arithmetic number, because the mean of its divisors is an integer number (3821584).

Almost surely, 2132130215 is an apocalyptic number.

132130215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132130215 is an abundant number, since it is smaller than the sum of its proper divisors (143023833).

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

132130215 is a wasteful number, since it uses less digits than its factorization.

132130215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 132130215 is about 11494.7907766953. The cubic root of 132130215 is about 509.3317082908.

Adding to 132130215 its reverse (512031231), we get a palindrome (644161446).

The spelling of 132130215 in words is "one hundred thirty-two million, one hundred thirty thousand, two hundred fifteen".

Divisors: 1 3 5 7 9 15 21 31 35 45 49 63 93 105 147 155 217 245 279 315 441 465 651 735 1085 1395 1519 1933 1953 2205 3255 4557 5799 7595 9665 9765 13531 13671 17397 22785 28995 40593 59923 67655 68355 86985 94717 121779 179769 202965 284151 299615 419461 473585 539307 608895 852453 898845 1258383 1420755 2097305 2696535 2936227 3775149 4262265 6291915 8808681 14681135 18875745 26426043 44043405 132130215