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1320140120 = 235132401487
BaseRepresentation
bin100111010101111…
…1011110101011000
310102000002001210112
41032223323311120
510200423440440
6334555103452
744500002005
oct11653736530
93360061715
101320140120
116182038a2
1230a141b88
1318066a100
14c74848ac
157ad6c965
hex4eafbd58

1320140120 has 96 divisors (see below), whose sum is σ = 3231018720. Its totient is φ = 485222400.

The previous prime is 1320140113. The next prime is 1320140179. The reversal of 1320140120 is 210410231.

It is a super-2 number, since 2×13201401202 = 3485539872867228800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1320140095 and 1320140104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2710517 + ... + 2711003.

It is an arithmetic number, because the mean of its divisors is an integer number (33656445).

Almost surely, 21320140120 is an apocalyptic number.

1320140120 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 1320140120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615509360).

1320140120 is an abundant number, since it is smaller than the sum of its proper divisors (1910878600).

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

1320140120 is a wasteful number, since it uses less digits than its factorization.

1320140120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1320140120 is about 36333.7325360332. The cubic root of 1320140120 is about 1097.0001238149. Note that the first 3 decimals are identical.

Adding to 1320140120 its reverse (210410231), we get a palindrome (1530550351).

The spelling of 1320140120 in words is "one billion, three hundred twenty million, one hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 401 487 520 676 802 845 974 1352 1604 1690 1948 2005 2435 3208 3380 3896 4010 4870 5213 6331 6760 8020 9740 10426 12662 16040 19480 20852 25324 26065 31655 41704 50648 52130 63310 67769 82303 104260 126620 135538 164606 195287 208520 253240 271076 329212 338845 390574 411515 542152 658424 677690 781148 823030 976435 1355380 1562296 1646060 1952870 2538731 2710760 3292120 3905740 5077462 7811480 10154924 12693655 20309848 25387310 33003503 50774620 66007006 101549240 132014012 165017515 264028024 330035030 660070060 1320140120