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132540024 = 23317297197
BaseRepresentation
bin1111110011001…
…10011001111000
3100020101201201210
413321212121320
5232412240044
621052443120
73166400031
oct771463170
9306351653
10132540024
11688a7311
12384794a0
13215c7966
1413861a88
15b9811b9
hex7e66678

132540024 has 96 divisors (see below), whose sum is σ = 357421680. Its totient is φ = 40943616.

The previous prime is 132540017. The next prime is 132540043. The reversal of 132540024 is 420045231.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 672694 + ... + 672890.

Almost surely, 2132540024 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 132540024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178710840).

132540024 is an abundant number, since it is smaller than the sum of its proper divisors (224881656).

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

132540024 is a wasteful number, since it uses less digits than its factorization.

132540024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 132540024 is about 11512.6028334170. The cubic root of 132540024 is about 509.8577380982.

Adding to 132540024 its reverse (420045231), we get a palindrome (552585255).

It can be divided in two parts, 1325400 and 24, that multiplied together give a square (31809600 = 56402).

The spelling of 132540024 in words is "one hundred thirty-two million, five hundred forty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 97 102 136 194 197 204 289 291 388 394 408 578 582 591 776 788 867 1156 1164 1182 1576 1649 1734 2312 2328 2364 3298 3349 3468 4728 4947 6596 6698 6936 9894 10047 13192 13396 19109 19788 20094 26792 28033 38218 39576 40188 56066 56933 57327 76436 80376 84099 112132 113866 114654 152872 168198 170799 224264 227732 229308 324853 336396 341598 455464 458616 649706 672792 683196 974559 1299412 1366392 1949118 2598824 3898236 5522501 7796472 11045002 16567503 22090004 33135006 44180008 66270012 132540024