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1411672240 = 245119971609
BaseRepresentation
bin101010000100100…
…0110100010110000
310122101022101021001
41110021012202300
510342342002430
6352025011344
746661005336
oct12411064260
93571271231
101411672240
11664941280
12334923b54
13196607524
14d56adb56
1583ded3ca
hex542468b0

1411672240 has 80 divisors (see below), whose sum is σ = 3586332960. Its totient is φ = 512501760.

The previous prime is 1411672177. The next prime is 1411672243. The reversal of 1411672240 is 422761141.

1411672240 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 1411672199 and 1411672208.

It is not an unprimeable number, because it can be changed into a prime (1411672243) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 876556 + ... + 878164.

It is an arithmetic number, because the mean of its divisors is an integer number (44829162).

Almost surely, 21411672240 is an apocalyptic number.

1411672240 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 1411672240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793166480).

1411672240 is an abundant number, since it is smaller than the sum of its proper divisors (2174660720).

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

1411672240 is a wasteful number, since it uses less digits than its factorization.

1411672240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 1411672240 is about 37572.2269768509. The cubic root of 1411672240 is about 1121.7892955377.

The spelling of 1411672240 in words is "one billion, four hundred eleven million, six hundred seventy-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 997 1609 1994 3218 3988 4985 6436 7976 8045 9970 10967 12872 15952 16090 17699 19940 21934 25744 32180 35398 39880 43868 54835 64360 70796 79760 87736 88495 109670 128720 141592 175472 176990 219340 283184 353980 438680 707960 877360 1415920 1604173 3208346 6416692 8020865 12833384 16041730 17645903 25666768 32083460 35291806 64166920 70583612 88229515 128333840 141167224 176459030 282334448 352918060 705836120 1411672240