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1768968 = 233279311
BaseRepresentation
bin110101111111000001000
310022212120100
412233320020
5423101333
6101525400
721015225
oct6577010
93285510
101768968
11aa9063
12713860
1349c236
1434094c
1524e213
hex1afe08

1768968 has 48 divisors (see below), whose sum is σ = 4867200. Its totient is φ = 580320.

The previous prime is 1768967. The next prime is 1768973. The reversal of 1768968 is 8698671.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1768967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5533 + ... + 5843.

It is an arithmetic number, because the mean of its divisors is an integer number (101400).

21768968 is an apocalyptic number.

1768968 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 1768968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433600).

1768968 is an abundant number, since it is smaller than the sum of its proper divisors (3098232).

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

1768968 is a wasteful number, since it uses less digits than its factorization.

1768968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 395 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 1768968 is about 1330.0255636641. The cubic root of 1768968 is about 120.9409360440.

The spelling of 1768968 in words is "one million, seven hundred sixty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 158 237 311 316 474 622 632 711 933 948 1244 1422 1866 1896 2488 2799 2844 3732 5598 5688 7464 11196 22392 24569 49138 73707 98276 147414 196552 221121 294828 442242 589656 884484 1768968