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132353340 = 22357315127
BaseRepresentation
bin1111110001110…
…00110100111100
3100020001020122120
413320320310330
5232340301330
621044442540
73164661540
oct770706474
9306036576
10132353340
116878a029
12383a9450
13215609b2
1413813a20
15b945c10
hex7e38d3c

132353340 has 48 divisors (see below), whose sum is σ = 423532032. Its totient is φ = 30252096.

The previous prime is 132353311. The next prime is 132353357. The reversal of 132353340 is 43353231.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 132353340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157144 + ... + 157983.

It is an arithmetic number, because the mean of its divisors is an integer number (8823584).

Almost surely, 2132353340 is an apocalyptic number.

132353340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132353340 is an abundant number, since it is smaller than the sum of its proper divisors (291178692).

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

132353340 is a wasteful number, since it uses less digits than its factorization.

132353340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315146 (or 315144 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 132353340 is about 11504.4921661062. The cubic root of 132353340 is about 509.6182456478.

The spelling of 132353340 in words is "one hundred thirty-two million, three hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 315127 630254 945381 1260508 1575635 1890762 2205889 3151270 3781524 4411778 4726905 6302540 6617667 8823556 9453810 11029445 13235334 18907620 22058890 26470668 33088335 44117780 66176670 132353340