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132062640 = 24354113421
BaseRepresentation
bin1111101111100…
…01110110110000
3100012111110212220
413313301312300
5232302001030
621034321040
73162341163
oct767616660
9305443786
10132062640
1168600686
1238289180
132148b598
1413779ada
15b8d9a10
hex7df1db0

132062640 has 80 divisors (see below), whose sum is σ = 419410656. Its totient is φ = 34355200.

The previous prime is 132062629. The next prime is 132062663. The reversal of 132062640 is 46260231.

132062640 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 132062640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3130 + ... + 16550.

Almost surely, 2132062640 is an apocalyptic number.

132062640 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 132062640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209705328).

132062640 is an abundant number, since it is smaller than the sum of its proper divisors (287348016).

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

132062640 is a wasteful number, since it uses less digits than its factorization.

132062640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13478 (or 13472 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 132062640 is about 11491.8510258357. The cubic root of 132062640 is about 509.2448647698.

The spelling of 132062640 in words is "one hundred thirty-two million, sixty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4920 9840 13421 26842 40263 53684 67105 80526 107368 134210 161052 201315 214736 268420 322104 402630 536840 550261 644208 805260 1073680 1100522 1610520 1650783 2201044 2751305 3221040 3301566 4402088 5502610 6603132 8253915 8804176 11005220 13206264 16507830 22010440 26412528 33015660 44020880 66031320 132062640