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1329240 = 2335111953
BaseRepresentation
bin101000100100001011000
32111112101010
411010201120
5320013430
644253520
714204223
oct5044130
92445333
101329240
11828750
125412a0
13377043
142685ba
151b3cb0
hex144858

1329240 has 128 divisors (see below), whose sum is σ = 4665600. Its totient is φ = 299520.

The previous prime is 1329233. The next prime is 1329241. The reversal of 1329240 is 429231.

1329240 = T29 + T30 + ... + T199.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1329241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25054 + ... + 25106.

It is an arithmetic number, because the mean of its divisors is an integer number (36450).

21329240 is an apocalyptic number.

1329240 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 1329240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332800).

1329240 is an abundant number, since it is smaller than the sum of its proper divisors (3336360).

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

1329240 is a wasteful number, since it uses less digits than its factorization.

1329240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1329240 is about 1152.9267105935. The cubic root of 1329240 is about 109.9514937651.

Subtracting from 1329240 its reverse (429231), we obtain a palindrome (900009).

The spelling of 1329240 in words is "one million, three hundred twenty-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 19 20 22 24 30 33 38 40 44 53 55 57 60 66 76 88 95 106 110 114 120 132 152 159 165 190 209 212 220 228 264 265 285 318 330 380 418 424 440 456 530 570 583 627 636 660 760 795 836 1007 1045 1060 1140 1166 1254 1272 1320 1590 1672 1749 2014 2090 2120 2280 2332 2508 2915 3021 3135 3180 3498 4028 4180 4664 5016 5035 5830 6042 6270 6360 6996 8056 8360 8745 10070 11077 11660 12084 12540 13992 15105 17490 20140 22154 23320 24168 25080 30210 33231 34980 40280 44308 55385 60420 66462 69960 88616 110770 120840 132924 166155 221540 265848 332310 443080 664620 1329240