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132103755 = 32572181331
BaseRepresentation
bin1111101111110…
…11111001001011
3100012120120021200
413313323321023
5232304310010
621035235243
73162602100
oct767737113
9305516250
10132103755
1168629563
12382a8b23
13214a4204
141378aaa7
15b8e6cc0
hex7dfbe4b

132103755 has 72 divisors (see below), whose sum is σ = 268645104. Its totient is φ = 59875200.

The previous prime is 132103739. The next prime is 132103759. The reversal of 132103755 is 557301231.

It is not a de Polignac number, because 132103755 - 24 = 132103739 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132103759) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 398940 + ... + 399270.

It is an arithmetic number, because the mean of its divisors is an integer number (3731182).

Almost surely, 2132103755 is an apocalyptic number.

132103755 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132103755 is an abundant number, since it is smaller than the sum of its proper divisors (136541349).

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

132103755 is a wasteful number, since it uses less digits than its factorization.

132103755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 132103755 is about 11493.6397629298. The cubic root of 132103755 is about 509.2977069417.

Adding to 132103755 its reverse (557301231), we get a palindrome (689404986).

The spelling of 132103755 in words is "one hundred thirty-two million, one hundred three thousand, seven hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 181 245 315 331 441 543 735 905 993 1267 1629 1655 2205 2317 2715 2979 3801 4965 6335 6951 8145 8869 11403 11585 14895 16219 19005 20853 26607 34755 44345 48657 57015 59911 79821 81095 104265 133035 145971 179733 243285 299555 399105 419377 539199 729855 898665 1258131 2096885 2695995 2935639 3774393 6290655 8806917 14678195 18871965 26420751 44034585 132103755