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1323042140 = 225721578599
BaseRepresentation
bin100111011011100…
…0000010101011100
310102012112111121202
41032313000111130
510202144322030
6335141215032
744533446500
oct11667002534
93365474552
101323042140
11619906162
1230b101478
13181144c94
14c79dc300
157b242745
hex4edc055c

1323042140 has 72 divisors (see below), whose sum is σ = 3252967200. Its totient is φ = 450672768.

The previous prime is 1323042131. The next prime is 1323042223. The reversal of 1323042140 is 412403231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149561 + ... + 158159.

It is an arithmetic number, because the mean of its divisors is an integer number (45180100).

Almost surely, 21323042140 is an apocalyptic number.

1323042140 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 1323042140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626483600).

1323042140 is an abundant number, since it is smaller than the sum of its proper divisors (1929925060).

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

1323042140 is a wasteful number, since it uses less digits than its factorization.

1323042140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8779 (or 8770 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1323042140 is about 36373.6462291038. The cubic root of 1323042140 is about 1097.8033684495.

Adding to 1323042140 its reverse (412403231), we get a palindrome (1735445371).

The spelling of 1323042140 in words is "one billion, three hundred twenty-three million, forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 157 196 245 314 490 628 785 980 1099 1570 2198 3140 4396 5495 7693 8599 10990 15386 17198 21980 30772 34396 38465 42995 60193 76930 85990 120386 153860 171980 240772 300965 421351 601930 842702 1203860 1350043 1685404 2106755 2700086 4213510 5400172 6750215 8427020 9450301 13500430 18900602 27000860 37801204 47251505 66152107 94503010 132304214 189006020 264608428 330760535 661521070 1323042140