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132041424 = 24347107547
BaseRepresentation
bin1111101111011…
…00101011010000
3100012110101210010
413313230223100
5232300311144
621034034520
73162222264
oct767545320
9305411703
10132041424
1168596749
1238278a40
1321481a28
14137720a4
15b8d35b9
hex7decad0

132041424 has 80 divisors (see below), whose sum is σ = 352263168. Its totient is φ = 42596736.

The previous prime is 132041423. The next prime is 132041453. The reversal of 132041424 is 424140231.

It is a self number, because there is not a number n which added to its sum of digits gives 132041424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132041423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241119 + ... + 241665.

Almost surely, 2132041424 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 132041424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176131584).

132041424 is an abundant number, since it is smaller than the sum of its proper divisors (220221744).

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

132041424 is a wasteful number, since it uses less digits than its factorization.

132041424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 132041424 is about 11490.9278998695. The cubic root of 132041424 is about 509.2175930709.

Adding to 132041424 its reverse (424140231), we get a palindrome (556181655).

The spelling of 132041424 in words is "one hundred thirty-two million, forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 107 141 188 214 282 321 376 428 547 564 642 752 856 1094 1128 1284 1641 1712 2188 2256 2568 3282 4376 5029 5136 6564 8752 10058 13128 15087 20116 25709 26256 30174 40232 51418 58529 60348 77127 80464 102836 117058 120696 154254 175587 205672 234116 241392 308508 351174 411344 468232 617016 702348 936464 1234032 1404696 2750863 2809392 5501726 8252589 11003452 16505178 22006904 33010356 44013808 66020712 132041424