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671938920 = 2332517310789
BaseRepresentation
bin101000000011001…
…111100101101000
31201211101000220200
4220003033211220
52334004021140
6150401552200
722436246412
oct5003174550
91654330820
10671938920
11315323724
12169045660
13a9295ac3
14653519b2
153decd030
hex280cf968

671938920 has 96 divisors (see below), whose sum is σ = 2196628200. Its totient is φ = 178131456.

The previous prime is 671938909. The next prime is 671938979. The reversal of 671938920 is 29839176.

It can be written as a sum of positive squares in 4 ways, for example, as 631717956 + 40220964 = 25134^2 + 6342^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56886 + ... + 67674.

Almost surely, 2671938920 is an apocalyptic number.

671938920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 671938920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098314100).

671938920 is an abundant number, since it is smaller than the sum of its proper divisors (1524689280).

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

671938920 is a wasteful number, since it uses less digits than its factorization.

671938920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10979 (or 10972 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 671938920 is about 25921.7846607829. The cubic root of 671938920 is about 875.8772893730.

The spelling of 671938920 in words is "six hundred seventy-one million, nine hundred thirty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 173 180 346 360 519 692 865 1038 1384 1557 1730 2076 2595 3114 3460 4152 5190 6228 6920 7785 10380 10789 12456 15570 20760 21578 31140 32367 43156 53945 62280 64734 86312 97101 107890 129468 161835 194202 215780 258936 323670 388404 431560 485505 647340 776808 971010 1294680 1866497 1942020 3732994 3884040 5599491 7465988 9332485 11198982 14931976 16798473 18664970 22397964 27997455 33596946 37329940 44795928 55994910 67193892 74659880 83992365 111989820 134387784 167984730 223979640 335969460 671938920