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1300968 = 233319317
BaseRepresentation
bin100111101100111101000
32110002121000
410331213220
5313112333
643515000
714025624
oct4754750
92402530
101300968
11809489
12528a60
13367206
1425c184
151aa713
hex13d9e8

1300968 has 64 divisors (see below), whose sum is σ = 3816000. Its totient is φ = 409536.

The previous prime is 1300967. The next prime is 1300979. The reversal of 1300968 is 8690031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1300963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3946 + ... + 4262.

It is an arithmetic number, because the mean of its divisors is an integer number (59625).

21300968 is an apocalyptic number.

1300968 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 1300968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908000).

1300968 is an abundant number, since it is smaller than the sum of its proper divisors (2515032).

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

1300968 is a wasteful number, since it uses less digits than its factorization.

1300968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1300968 is about 1140.5998421883. The cubic root of 1300968 is about 109.1663705163.

1300968 divided by its sum of digits (27) gives a palindrome (48184).

Adding to 1300968 its reverse (8690031), we get a palindrome (9990999).

The spelling of 1300968 in words is "one million, three hundred thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 317 342 456 513 634 684 951 1026 1268 1368 1902 2052 2536 2853 3804 4104 5706 6023 7608 8559 11412 12046 17118 18069 22824 24092 34236 36138 48184 54207 68472 72276 108414 144552 162621 216828 325242 433656 650484 1300968