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1360102140 = 2232537919937
BaseRepresentation
bin101000100010001…
…1000001011111100
310111210021100101100
41101010120023330
510241141232030
6342543413100
745463451235
oct12104301374
93453240340
101360102140
11638818961
1231b5b4190
13188a1c587
14cc8c808c
157e613360
hex511182fc

1360102140 has 72 divisors (see below), whose sum is σ = 4136736240. Its totient is φ = 361718784.

The previous prime is 1360102123. The next prime is 1360102141. The reversal of 1360102140 is 412010631.

It is a happy number.

1360102140 is a `hidden beast` number, since 1 + 3 + 601 + 0 + 21 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1360102141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58252 + ... + 78188.

It is an arithmetic number, because the mean of its divisors is an integer number (57454670).

Almost surely, 21360102140 is an apocalyptic number.

1360102140 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 1360102140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068368120).

1360102140 is an abundant number, since it is smaller than the sum of its proper divisors (2776634100).

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

1360102140 is a wasteful number, since it uses less digits than its factorization.

1360102140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20331 (or 20326 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1360102140 is about 36879.5626329814. The cubic root of 1360102140 is about 1107.9593869651.

Adding to 1360102140 its reverse (412010631), we get a palindrome (1772112771).

The spelling of 1360102140 in words is "one billion, three hundred sixty million, one hundred two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 379 758 1137 1516 1895 2274 3411 3790 4548 5685 6822 7580 11370 13644 17055 19937 22740 34110 39874 59811 68220 79748 99685 119622 179433 199370 239244 299055 358866 398740 598110 717732 897165 1196220 1794330 3588660 7556123 15112246 22668369 30224492 37780615 45336738 68005107 75561230 90673476 113341845 136010214 151122460 226683690 272020428 340025535 453367380 680051070 1360102140