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1968876 = 2232713601
BaseRepresentation
bin111100000101011101100
310201000210100
413200223230
51001001001
6110111100
722510110
oct7405354
93630710
101968876
111125278
127ab490
1353c220
14393740
1528d586
hex1e0aec

1968876 has 72 divisors (see below), whose sum is σ = 6135584. Its totient is φ = 518400.

The previous prime is 1968871. The next prime is 1968899. The reversal of 1968876 is 6788691.

It is a happy number.

1968876 is nontrivially palindromic in base 5.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1968871) by changing a digit.

It is a nontrivial repunit in base 125.

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 23 ways as a sum of consecutive naturals, for example, 2976 + ... + 3576.

21968876 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1968876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3067792).

1968876 is an abundant number, since it is smaller than the sum of its proper divisors (4166708).

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

1968876 is a wasteful number, since it uses less digits than its factorization.

1968876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 626 counting only the distinct ones).

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

The square root of 1968876 is about 1403.1664192105. The cubic root of 1968876 is about 125.3351220760.

The spelling of 1968876 in words is "one million, nine hundred sixty-eight thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 601 819 1092 1202 1638 1803 2404 3276 3606 4207 5409 7212 7813 8414 10818 12621 15626 16828 21636 23439 25242 31252 37863 46878 50484 54691 70317 75726 93756 109382 140634 151452 164073 218764 281268 328146 492219 656292 984438 1968876