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132326040 = 233571114321
BaseRepresentation
bin1111110001100…
…10001010011000
3100012222212012110
413320302022120
5232333413130
621044112320
73164516130
oct770621230
9305885173
10132326040
1168770570
12383956a0
1321551442
1413807ac0
15b93cab0
hex7e32298

132326040 has 128 divisors (see below), whose sum is σ = 494968320. Its totient is φ = 27494400.

The previous prime is 132326003. The next prime is 132326053. The reversal of 132326040 is 40623231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 132325998 and 132326016.

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 31 ways as a sum of consecutive naturals, for example, 2080 + ... + 16400.

It is an arithmetic number, because the mean of its divisors is an integer number (3866940).

Almost surely, 2132326040 is an apocalyptic number.

132326040 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 132326040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247484160).

132326040 is an abundant number, since it is smaller than the sum of its proper divisors (362642280).

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

132326040 is a wasteful number, since it uses less digits than its factorization.

132326040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14353 (or 14349 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 132326040 is about 11503.3056118665. The cubic root of 132326040 is about 509.5832042584.

Adding to 132326040 its reverse (40623231), we get a palindrome (172949271).

The spelling of 132326040 in words is "one hundred thirty-two million, three hundred twenty-six thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 14321 28642 42963 57284 71605 85926 100247 114568 143210 157531 171852 200494 214815 286420 300741 315062 343704 400988 429630 472593 501235 572840 601482 630124 787655 801976 859260 945186 1002470 1102717 1202964 1260248 1503705 1575310 1718520 1890372 2004940 2205434 2362965 2405928 3007410 3150620 3308151 3780744 4009880 4410868 4725930 5513585 6014820 6301240 6616302 8821736 9451860 11027170 12029640 13232604 16540755 18903720 22054340 26465208 33081510 44108680 66163020 132326040