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1672428460 = 225613793617
BaseRepresentation
bin110001110101111…
…0011101110101100
311022112222011112211
41203223303232230
511411120202320
6433541540204
756305256503
oct14353635654
94275864484
101672428460
1178905128a
123a8114664
13208644a51
1411c18983a
159bc5955a
hex63af3bac

1672428460 has 48 divisors (see below), whose sum is σ = 3580083360. Its totient is φ = 656087040.

The previous prime is 1672428427. The next prime is 1672428481. The reversal of 1672428460 is 648242761.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 460572 + ... + 464188.

It is an arithmetic number, because the mean of its divisors is an integer number (74585070).

Almost surely, 21672428460 is an apocalyptic number.

1672428460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1672428460 is an abundant number, since it is smaller than the sum of its proper divisors (1907654900).

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

1672428460 is a wasteful number, since it uses less digits than its factorization.

1672428460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4066 (or 4064 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 1672428460 is about 40895.3354308288. The cubic root of 1672428460 is about 1186.9958023532.

The spelling of 1672428460 in words is "one billion, six hundred seventy-two million, four hundred twenty-eight thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 61 122 244 305 379 610 758 1220 1516 1895 3617 3790 7234 7580 14468 18085 23119 36170 46238 72340 92476 115595 220637 231190 441274 462380 882548 1103185 1370843 2206370 2741686 4412740 5483372 6854215 13708430 27416860 83621423 167242846 334485692 418107115 836214230 1672428460