Search a number
-
+
671232 = 2931923
BaseRepresentation
bin10100011111000000000
31021002202110
42203320000
5132434412
622215320
75463642
oct2437000
91232673
10671232
11419341
12284540
131a66a3
14136892
15d3d3c
hexa3e00

671232 has 80 divisors (see below), whose sum is σ = 1964160. Its totient is φ = 202752.

The previous prime is 671219. The next prime is 671233. The reversal of 671232 is 232176.

It is a happy number.

It is an Ulam number.

Its product of digits (504) is a multiple of the sum of its prime factors (63).

It is a junction number, because it is equal to n+sod(n) for n = 671199 and 671208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (671233) by changing a digit.

671232 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29173 + ... + 29195.

It is an arithmetic number, because the mean of its divisors is an integer number (24552).

2671232 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 671232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982080).

671232 is an abundant number, since it is smaller than the sum of its proper divisors (1292928).

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

671232 is a wasteful number, since it uses less digits than its factorization.

671232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 47 counting only the distinct ones).

The product of its digits is 504, while the sum is 21.

The square root of 671232 is about 819.2874953275. The cubic root of 671232 is about 87.5570023133.

It can be divided in two parts, 671 and 232, that added together give a triangular number (903 = T42).

The spelling of 671232 in words is "six hundred seventy-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 64 69 76 92 96 114 128 138 152 184 192 228 256 276 304 368 384 437 456 512 552 608 736 768 874 912 1104 1216 1311 1472 1536 1748 1824 2208 2432 2622 2944 3496 3648 4416 4864 5244 5888 6992 7296 8832 9728 10488 11776 13984 14592 17664 20976 27968 29184 35328 41952 55936 83904 111872 167808 223744 335616 671232