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8132040 = 2332572461
BaseRepresentation
bin11111000001010111001000
3120022011001200
4133001113020
54040211130
6450144200
7126056400
oct37012710
916264050
108132040
1146547a4
122882060
1318b9577
141119800
15aa9760
hex7c15c8

8132040 has 144 divisors (see below), whose sum is σ = 30810780. Its totient is φ = 1854720.

The previous prime is 8132039. The next prime is 8132051. The reversal of 8132040 is 402318.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7918596 + 213444 = 2814^2 + 462^2 .

It is a super-2 number, since 2×81320402 = 132260149123200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17410 + ... + 17870.

Almost surely, 28132040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15405390).

8132040 is an abundant number, since it is smaller than the sum of its proper divisors (22678740).

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

8132040 is a wasteful number, since it uses less digits than its factorization.

8132040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 8132040 is about 2851.6731930570. The cubic root of 8132040 is about 201.0943345714.

Adding to 8132040 its reverse (402318), we get a palindrome (8534358).

The spelling of 8132040 in words is "eight million, one hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 461 490 504 588 630 735 840 882 922 980 1176 1260 1383 1470 1764 1844 1960 2205 2305 2520 2766 2940 3227 3528 3688 4149 4410 4610 5532 5880 6454 6915 8298 8820 9220 9681 11064 12908 13830 16135 16596 17640 18440 19362 20745 22589 25816 27660 29043 32270 33192 38724 41490 45178 48405 55320 58086 64540 67767 77448 82980 90356 96810 112945 116172 129080 135534 145215 165960 180712 193620 203301 225890 232344 271068 290430 338835 387240 406602 451780 542136 580860 677670 813204 903560 1016505 1161720 1355340 1626408 2033010 2710680 4066020 8132040