Search a number
-
+
681881184 = 253223311331
BaseRepresentation
bin101000101001001…
…010111001100000
31202112002011010200
4220221022321200
52344030144214
6151355025200
722616615535
oct5051127140
91675064120
10681881184
1131a9a4476
1217043b200
13ab3672ba
14667bcd8c
153ece3d09
hex28a4ae60

681881184 has 144 divisors (see below), whose sum is σ = 2036047104. Its totient is φ = 216057600.

The previous prime is 681881183. The next prime is 681881273. The reversal of 681881184 is 481188186.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681881183) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2059899 + ... + 2060229.

It is an arithmetic number, because the mean of its divisors is an integer number (14139216).

Almost surely, 2681881184 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 681881184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018023552).

681881184 is an abundant number, since it is smaller than the sum of its proper divisors (1354165920).

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

681881184 is a wasteful number, since it uses less digits than its factorization.

681881184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 670 counting only the distinct ones).

The product of its digits is 98304, while the sum is 45.

The square root of 681881184 is about 26112.8547654216. The cubic root of 681881184 is about 880.1760942365.

The spelling of 681881184 in words is "six hundred eighty-one million, eight hundred eighty-one thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 311 331 368 414 552 622 662 736 828 933 993 1104 1244 1324 1656 1866 1986 2208 2488 2648 2799 2979 3312 3732 3972 4976 5296 5598 5958 6624 7153 7464 7613 7944 9952 10592 11196 11916 14306 14928 15226 15888 21459 22392 22839 23832 28612 29856 30452 31776 42918 44784 45678 47664 57224 60904 64377 68517 85836 89568 91356 95328 102941 114448 121808 128754 137034 171672 182712 205882 228896 243616 257508 274068 308823 343344 365424 411764 515016 548136 617646 686688 730848 823528 926469 1030032 1096272 1235292 1647056 1852938 2060064 2192544 2367643 2470584 3294112 3705876 4735286 4941168 7102929 7411752 9470572 9882336 14205858 14823504 18941144 21308787 28411716 29647008 37882288 42617574 56823432 75764576 85235148 113646864 170470296 227293728 340940592 681881184