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1681264 = 241359137
BaseRepresentation
bin110011010011101110000
310011102021001
412122131300
5412300024
6100011344
720201434
oct6323560
93142231
101681264
11a49182
12690b54
1346b340
1431a9c4
15233244
hex19a770

1681264 has 40 divisors (see below), whose sum is σ = 3593520. Its totient is φ = 757248.

The previous prime is 1681261. The next prime is 1681271. The reversal of 1681264 is 4621861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1681261) 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 7 ways as a sum of consecutive naturals, for example, 12204 + ... + 12340.

It is an arithmetic number, because the mean of its divisors is an integer number (89838).

21681264 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 1681264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796760).

1681264 is an abundant number, since it is smaller than the sum of its proper divisors (1912256).

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

1681264 is a wasteful number, since it uses less digits than its factorization.

1681264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 211 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 1681264 is about 1296.6356465870. The cubic root of 1681264 is about 118.9082455390.

The spelling of 1681264 in words is "one million, six hundred eighty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 52 59 104 118 137 208 236 274 472 548 767 944 1096 1534 1781 2192 3068 3562 6136 7124 8083 12272 14248 16166 28496 32332 64664 105079 129328 210158 420316 840632 1681264