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132203240 = 23513972621
BaseRepresentation
bin1111110000101…
…00001011101000
3100012202121202022
413320110023220
5232321000430
621041324012
73163465121
oct770241350
9305677668
10132203240
1168697284
1238336608
132150a590
14137b5048
15b9164e5
hex7e142e8

132203240 has 64 divisors (see below), whose sum is σ = 323764560. Its totient is φ = 48291840.

The previous prime is 132203233. The next prime is 132203297. The reversal of 132203240 is 42302231.

It can be written as a sum of positive squares in 8 ways, for example, as 50951044 + 81252196 = 7138^2 + 9014^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49130 + ... + 51750.

Almost surely, 2132203240 is an apocalyptic number.

132203240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132203240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161882280).

132203240 is an abundant number, since it is smaller than the sum of its proper divisors (191561320).

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

132203240 is a wasteful number, since it uses less digits than its factorization.

132203240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 132203240 is about 11497.9667767828. The cubic root of 132203240 is about 509.4255225585.

Adding to 132203240 its reverse (42302231), we get a palindrome (174505471).

The spelling of 132203240 in words is "one hundred thirty-two million, two hundred three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 97 104 130 194 260 388 485 520 776 970 1261 1940 2522 2621 3880 5044 5242 6305 10088 10484 12610 13105 20968 25220 26210 34073 50440 52420 68146 104840 136292 170365 254237 272584 340730 508474 681460 1016948 1271185 1362920 2033896 2542370 3305081 5084740 6610162 10169480 13220324 16525405 26440648 33050810 66101620 132203240