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132326652 = 223293743239
BaseRepresentation
bin1111110001100…
…10010011111100
3100012222220001010
413320302103330
5232333423102
621044115220
73164520663
oct770622374
9305886033
10132326652
1168770a77
1238395b10
13215517c3
1413807dda
15b93cd6c
hex7e324fc

132326652 has 96 divisors (see below), whose sum is σ = 337075200. Its totient is φ = 40303872.

The previous prime is 132326647. The next prime is 132326653. The reversal of 132326652 is 256623231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132326653) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 553549 + ... + 553787.

It is an arithmetic number, because the mean of its divisors is an integer number (3511200).

Almost surely, 2132326652 is an apocalyptic number.

132326652 is a gapful number since it is divisible by the number (12) 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 132326652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168537600).

132326652 is an abundant number, since it is smaller than the sum of its proper divisors (204748548).

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

132326652 is a wasteful number, since it uses less digits than its factorization.

132326652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 353 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 132326652 is about 11503.3322128851. The cubic root of 132326652 is about 509.5839898544.

Adding to 132326652 its reverse (256623231), we get a palindrome (388949883).

The spelling of 132326652 in words is "one hundred thirty-two million, three hundred twenty-six thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 29 37 43 58 74 86 87 111 116 129 148 172 174 222 239 258 348 444 478 516 717 956 1073 1247 1434 1591 2146 2494 2868 3182 3219 3741 4292 4773 4988 6364 6438 6931 7482 8843 9546 10277 12876 13862 14964 17686 19092 20554 20793 26529 27724 30831 35372 41108 41586 46139 53058 61662 83172 92278 106116 123324 138417 184556 256447 276834 298033 380249 512894 553668 596066 760498 769341 894099 1025788 1140747 1192132 1520996 1538682 1788198 2281494 3077364 3576396 4562988 11027221 22054442 33081663 44108884 66163326 132326652