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1313050968 = 2332371273881
BaseRepresentation
bin100111001000011…
…1001000101011000
310101111201220022100
41032100321011120
510142120112333
6334143123400
744352514635
oct11620710530
93344656270
101313050968
11614201699
123078a3560
1317c057448
14c655b18c
157a41c213
hex4e439158

1313050968 has 96 divisors (see below), whose sum is σ = 3681999360. Its totient is φ = 422392320.

The previous prime is 1313050939. The next prime is 1313050969. The reversal of 1313050968 is 8690503131.

It is a happy number.

1313050968 is a `hidden beast` number, since 13 + 130 + 509 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313050969) 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, 336388 + ... + 340268.

It is an arithmetic number, because the mean of its divisors is an integer number (38354160).

Almost surely, 21313050968 is an apocalyptic number.

1313050968 is a gapful number since it is divisible by the number (18) 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 1313050968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840999680).

1313050968 is an abundant number, since it is smaller than the sum of its proper divisors (2368948392).

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

1313050968 is a wasteful number, since it uses less digits than its factorization.

1313050968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4057 (or 4050 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1313050968 is about 36236.0451484430. The cubic root of 1313050968 is about 1095.0329682949.

The spelling of 1313050968 in words is "one billion, three hundred thirteen million, fifty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 127 148 222 254 296 333 381 444 508 666 762 888 1016 1143 1332 1524 2286 2664 3048 3881 4572 4699 7762 9144 9398 11643 14097 15524 18796 23286 28194 31048 34929 37592 42291 46572 56388 69858 84582 93144 112776 139716 143597 169164 279432 287194 338328 430791 492887 574388 861582 985774 1148776 1292373 1478661 1723164 1971548 2584746 2957322 3446328 3943096 4435983 5169492 5914644 8871966 10338984 11829288 17743932 18236819 35487864 36473638 54710457 72947276 109420914 145894552 164131371 218841828 328262742 437683656 656525484 1313050968