Search a number
-
+
671287296 = 2113176427
BaseRepresentation
bin101000000000110…
…000100000000000
31201210010221001110
4220000300200000
52333322143141
6150340003320
722430563551
oct5000604000
91653127043
10671287296
11314a19099
12168990540
13a90c8324
1465222328
153ddeee16
hex28030800

671287296 has 96 divisors (see below), whose sum is σ = 1895231520. Its totient is φ = 210567168.

The previous prime is 671287277. The next prime is 671287303. The reversal of 671287296 is 692782176.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101235 + ... + 107661.

It is an arithmetic number, because the mean of its divisors is an integer number (19741995).

Almost surely, 2671287296 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 671287296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947615760).

671287296 is an abundant number, since it is smaller than the sum of its proper divisors (1223944224).

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

671287296 is a wasteful number, since it uses less digits than its factorization.

671287296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6469 (or 6449 counting only the distinct ones).

The product of its digits is 508032, while the sum is 48.

The square root of 671287296 is about 25909.2125700493. The cubic root of 671287296 is about 875.5940655853.

The spelling of 671287296 in words is "six hundred seventy-one million, two hundred eighty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2048 2176 3072 3264 4352 6144 6427 6528 8704 12854 13056 17408 19281 25708 26112 34816 38562 51416 52224 77124 102832 104448 109259 154248 205664 218518 308496 327777 411328 437036 616992 655554 822656 874072 1233984 1311108 1645312 1748144 2467968 2622216 3290624 3496288 4935936 5244432 6581248 6992576 9871872 10488864 13162496 13985152 19743744 20977728 27970304 39487488 41955456 55940608 83910912 111881216 167821824 223762432 335643648 671287296