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1294096940 = 225411978011
BaseRepresentation
bin100110100100010…
…0101101000101100
310100012001221021022
41031020211220230
510122242100230
6332224553312
744032433243
oct11510455054
93305057238
101294096940
11604536204
12301482838
1317814c146
14c3c2595a
15789261e5
hex4d225a2c

1294096940 has 48 divisors (see below), whose sum is σ = 2798367264. Its totient is φ = 502387200.

The previous prime is 1294096939. The next prime is 1294096949. The reversal of 1294096940 is 496904921.

It is a junction number, because it is equal to n+sod(n) for n = 1294096891 and 1294096900.

It is not an unprimeable number, because it can be changed into a prime (1294096949) 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 15 ways as a sum of consecutive naturals, for example, 157535 + ... + 165545.

It is an arithmetic number, because the mean of its divisors is an integer number (58299318).

Almost surely, 21294096940 is an apocalyptic number.

1294096940 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 1294096940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399183632).

1294096940 is an abundant number, since it is smaller than the sum of its proper divisors (1504270324).

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

1294096940 is a wasteful number, since it uses less digits than its factorization.

1294096940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8258 (or 8256 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 44.

The square root of 1294096940 is about 35973.5589009483. The cubic root of 1294096940 is about 1089.7384384880.

The spelling of 1294096940 in words is "one billion, two hundred ninety-four million, ninety-six thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 197 205 394 410 788 820 985 1970 3940 8011 8077 16022 16154 32044 32308 40055 40385 80110 80770 160220 161540 328451 656902 1313804 1578167 1642255 3156334 3284510 6312668 6569020 7890835 15781670 31563340 64704847 129409694 258819388 323524235 647048470 1294096940