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132542514 = 23313238209
BaseRepresentation
bin1111110011001…
…11000000110010
3100020101212011000
413321213000302
5232412330024
621052502430
73166410216
oct771470062
9306355130
10132542514
11688a9175
123847aa16
13215c8b30
1413862946
15b981cc9
hex7e67032

132542514 has 64 divisors (see below), whose sum is σ = 331027200. Its totient is φ = 39004416.

The previous prime is 132542507. The next prime is 132542551. The reversal of 132542514 is 415245231.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12042 + ... + 20250.

It is an arithmetic number, because the mean of its divisors is an integer number (5172300).

Almost surely, 2132542514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132542514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165513600).

132542514 is an abundant number, since it is smaller than the sum of its proper divisors (198484686).

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

132542514 is a wasteful number, since it uses less digits than its factorization.

132542514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8256 (or 8250 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 132542514 is about 11512.7109752656. The cubic root of 132542514 is about 509.8609309396.

Adding to 132542514 its reverse (415245231), we get a palindrome (547787745).

The spelling of 132542514 in words is "one hundred thirty-two million, five hundred forty-two thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 46 54 69 78 117 138 207 234 299 351 414 598 621 702 897 1242 1794 2691 5382 8073 8209 16146 16418 24627 49254 73881 106717 147762 188807 213434 221643 320151 377614 443286 566421 640302 960453 1132842 1699263 1920906 2454491 2881359 3398526 4908982 5097789 5762718 7363473 10195578 14726946 22090419 44180838 66271257 132542514