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1894968 = 233331283
BaseRepresentation
bin111001110101000111000
310120021102000
413032220320
5441114333
6104341000
722051455
oct7165070
93507360
101894968
111084799
12774760
135146aa
1437482c
15276713
hex1cea38

1894968 has 64 divisors (see below), whose sum is σ = 5452800. Its totient is φ = 609120.

The previous prime is 1894933. The next prime is 1894969. The reversal of 1894968 is 8694981.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1894969) 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 15 ways as a sum of consecutive naturals, for example, 6555 + ... + 6837.

It is an arithmetic number, because the mean of its divisors is an integer number (85200).

21894968 is an apocalyptic number.

1894968 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 1894968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2726400).

1894968 is an abundant number, since it is smaller than the sum of its proper divisors (3557832).

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

1894968 is a wasteful number, since it uses less digits than its factorization.

1894968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 319 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 1894968 is about 1376.5783668212. The cubic root of 1894968 is about 123.7467951420.

The spelling of 1894968 in words is "one million, eight hundred ninety-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 283 372 558 566 744 837 849 1116 1132 1674 1698 2232 2264 2547 3348 3396 5094 6696 6792 7641 8773 10188 15282 17546 20376 26319 30564 35092 52638 61128 70184 78957 105276 157914 210552 236871 315828 473742 631656 947484 1894968