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132666240 = 273579871
BaseRepresentation
bin1111110100001…
…01001110000000
3100020122010212110
413322011032000
5232430304430
621055255320
73200434020
oct772051600
9306563773
10132666240
1168983123
123851a540
1321640245
1413895a80
15b9a87b0
hex7e85380

132666240 has 128 divisors (see below), whose sum is σ = 483333120. Its totient is φ = 30320640.

The previous prime is 132666217. The next prime is 132666241. The reversal of 132666240 is 42666231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 132666198 and 132666207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132666241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8505 + ... + 18375.

It is an arithmetic number, because the mean of its divisors is an integer number (3776040).

Almost surely, 2132666240 is an apocalyptic number.

132666240 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 132666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241666560).

132666240 is an abundant number, since it is smaller than the sum of its proper divisors (350666880).

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

132666240 is an equidigital number, since it uses as much as digits as its factorization.

132666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9900 (or 9888 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 132666240 is about 11518.0831738619. The cubic root of 132666240 is about 510.0195302017.

Subtracting from 132666240 its reverse (42666231), we obtain a palindrome (90000009).

The spelling of 132666240 in words is "one hundred thirty-two million, six hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 9871 13440 19742 29613 39484 49355 59226 69097 78968 98710 118452 138194 148065 157936 197420 207291 236904 276388 296130 315872 345485 394840 414582 473808 552776 592260 631744 690970 789680 829164 947616 1036455 1105552 1184520 1263488 1381940 1579360 1658328 1895232 2072910 2211104 2369040 2763880 3158720 3316656 3790464 4145820 4422208 4738080 5527760 6317440 6633312 8291640 8844416 9476160 11055520 13266624 16583280 18952320 22111040 26533248 33166560 44222080 66333120 132666240