Search a number
-
+
671872128 = 2736612647
BaseRepresentation
bin101000000010111…
…111010010000000
31201211020122021220
4220002333102000
52333444402003
6150400315040
722435550604
oct5002772200
91654218256
10671872128
11315288524
12169012a80
13a9271595
1465335504
153deb8353
hex280bf480

671872128 has 64 divisors (see below), whose sum is σ = 1788035520. Its totient is φ = 223534080.

The previous prime is 671872121. The next prime is 671872133. The reversal of 671872128 is 821278176.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 671872128.

It is not an unprimeable number, because it can be changed into a prime (671872121) 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, 252501 + ... + 255147.

It is an arithmetic number, because the mean of its divisors is an integer number (27938055).

Almost surely, 2671872128 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 671872128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894017760).

671872128 is an abundant number, since it is smaller than the sum of its proper divisors (1116163392).

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

671872128 is a wasteful number, since it uses less digits than its factorization.

671872128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3325 (or 3313 counting only the distinct ones).

The product of its digits is 75264, while the sum is 42.

The square root of 671872128 is about 25920.4962915450. The cubic root of 671872128 is about 875.8482671248.

The spelling of 671872128 in words is "six hundred seventy-one million, eight hundred seventy-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 661 1322 1983 2644 2647 3966 5288 5294 7932 7941 10576 10588 15864 15882 21152 21176 31728 31764 42304 42352 63456 63528 84608 84704 126912 127056 169408 253824 254112 338816 508224 1016448 1749667 3499334 5249001 6998668 10498002 13997336 20996004 27994672 41992008 55989344 83984016 111978688 167968032 223957376 335936064 671872128