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1681260444 = 2232376912391
BaseRepresentation
bin110010000110101…
…1111111110011100
311100011120212202100
41210031133332130
511420400313234
6434455125100
756443322643
oct14415377634
94304525670
101681260444
11793033946
123ab073790
1320a417a86
1411d40835a
159c901399
hex6435ff9c

1681260444 has 36 divisors (see below), whose sum is σ = 4251323440. Its totient is φ = 560226240.

The previous prime is 1681260431. The next prime is 1681260487. The reversal of 1681260444 is 4440621861.

It is a happy number.

1681260444 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 2 + 604 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 1681260399 and 1681260408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129489 + ... + 141879.

Almost surely, 21681260444 is an apocalyptic number.

It is an amenable number.

1681260444 is an abundant number, since it is smaller than the sum of its proper divisors (2570062996).

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

1681260444 is a wasteful number, since it uses less digits than its factorization.

1681260444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16170 (or 16165 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1681260444 is about 41003.1760233278. The cubic root of 1681260444 is about 1189.0816170561.

The spelling of 1681260444 in words is "one billion, six hundred eighty-one million, two hundred sixty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 3769 7538 11307 12391 15076 22614 24782 33921 37173 45228 49564 67842 74346 111519 135684 148692 223038 446076 46701679 93403358 140105037 186806716 280210074 420315111 560420148 840630222 1681260444