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132165440 = 2651137547
BaseRepresentation
bin1111110000010…
…10111101000000
3100012200200220022
413320022331000
5232313243230
621040433012
73163246661
oct770127500
9305620808
10132165440
1168670940
1238318768
13214c6304
14137a5368
15b90a1e5
hex7e0af40

132165440 has 56 divisors (see below), whose sum is σ = 343338912. Its totient is φ = 48058880.

The previous prime is 132165421. The next prime is 132165461. The reversal of 132165440 is 44561231.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 15254 + ... + 22293.

It is an arithmetic number, because the mean of its divisors is an integer number (6131052).

Almost surely, 2132165440 is an apocalyptic number.

132165440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132165440 is an abundant number, since it is smaller than the sum of its proper divisors (211173472).

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

132165440 is a wasteful number, since it uses less digits than its factorization.

132165440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37575 (or 37565 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 132165440 is about 11496.3228903854. The cubic root of 132165440 is about 509.3769657043.

The spelling of 132165440 in words is "one hundred thirty-two million, one hundred sixty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 37547 75094 150188 187735 300376 375470 413017 600752 750940 826034 1201504 1501880 1652068 2065085 2403008 3003760 3304136 4130170 6007520 6608272 8260340 12015040 13216544 16520680 26433088 33041360 66082720 132165440