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132203424 = 25317591373
BaseRepresentation
bin1111110000101…
…00001110100000
3100012202122000010
413320110032200
5232321002144
621041324520
73163465503
oct770241640
9305678003
10132203424
1168697431
1238336740
132150a6a2
14137b513a
15b9165b9
hex7e143a0

132203424 has 96 divisors (see below), whose sum is σ = 373947840. Its totient is φ = 40742912.

The previous prime is 132203411. The next prime is 132203429. The reversal of 132203424 is 424302231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 132203424.

It is not an unprimeable number, because it can be changed into a prime (132203429) 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, 95602 + ... + 96974.

It is an arithmetic number, because the mean of its divisors is an integer number (3895290).

Almost surely, 2132203424 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 132203424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186973920).

132203424 is an abundant number, since it is smaller than the sum of its proper divisors (241744416).

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

132203424 is a wasteful number, since it uses less digits than its factorization.

132203424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 132203424 is about 11497.9747781946. The cubic root of 132203424 is about 509.4257588972.

Adding to 132203424 its reverse (424302231), we get a palindrome (556505655).

The spelling of 132203424 in words is "one hundred thirty-two million, two hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 59 68 96 102 118 136 177 204 236 272 354 408 472 544 708 816 944 1003 1373 1416 1632 1888 2006 2746 2832 3009 4012 4119 5492 5664 6018 8024 8238 10984 12036 16048 16476 21968 23341 24072 32096 32952 43936 46682 48144 65904 70023 81007 93364 96288 131808 140046 162014 186728 243021 280092 324028 373456 486042 560184 648056 746912 972084 1120368 1296112 1377119 1944168 2240736 2592224 2754238 3888336 4131357 5508476 7776672 8262714 11016952 16525428 22033904 33050856 44067808 66101712 132203424