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1968336 = 243213669
BaseRepresentation
bin111100000100011010000
310201000001100
413200203100
51000441321
6110104400
722505406
oct7404320
93630040
101968336
111124927
127ab100
1353bbc6
14393476
1528d326
hex1e08d0

1968336 has 30 divisors (see below), whose sum is σ = 5509010. Its totient is φ = 656064.

The previous prime is 1968331. The next prime is 1968341. The reversal of 1968336 is 6338691.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1968331) and next prime (1968341).

It can be written as a sum of positive squares in only one way, i.e., 1838736 + 129600 = 1356^2 + 360^2 .

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

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 1 + 94 + 67 + 8 + 33 + 37 + 68 .

It is a self number, because there is not a number n which added to its sum of digits gives 1968336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1968331) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6691 + ... + 6978.

21968336 is an apocalyptic number.

1968336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1968336 is an abundant number, since it is smaller than the sum of its proper divisors (3540674).

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

1968336 is a wasteful number, since it uses less digits than its factorization.

1968336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13683 (or 13674 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 1968336 is about 1402.9739840781. The cubic root of 1968336 is about 125.3236625504.

It can be divided in two parts, 1968 and 336, that added together give a square (2304 = 482).

The spelling of 1968336 in words is "one million, nine hundred sixty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 13669 27338 41007 54676 82014 109352 123021 164028 218704 246042 328056 492084 656112 984168 1968336