Search a number
-
+
400669104 = 2431129137191
BaseRepresentation
bin10111111000011…
…011100110110000
31000220221002200110
4113320123212300
51310032402404
6103431421320
712633426333
oct2770334660
91026832613
10400669104
111961926a0
12b2224840
1365017014
143b2da61a
1525296b89
hex17e1b9b0

400669104 has 160 divisors (see below), whose sum is σ = 1182781440. Its totient is φ = 115763200.

The previous prime is 400669103. The next prime is 400669127. The reversal of 400669104 is 401966004.

It is not an unprimeable number, because it can be changed into a prime (400669103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2097649 + ... + 2097839.

It is an arithmetic number, because the mean of its divisors is an integer number (7392384).

Almost surely, 2400669104 is an apocalyptic number.

400669104 is a gapful number since it is divisible by the number (44) 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 400669104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591390720).

400669104 is an abundant number, since it is smaller than the sum of its proper divisors (782112336).

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

400669104 is a wasteful number, since it uses less digits than its factorization.

400669104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 400669104 is about 20016.7206105296. The cubic root of 400669104 is about 737.2169042342.

The spelling of 400669104 in words is "four hundred million, six hundred sixty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 87 88 116 132 137 174 176 191 232 264 274 319 348 382 411 464 528 548 573 638 696 764 822 957 1096 1146 1276 1392 1507 1528 1644 1914 2101 2192 2292 2552 3014 3056 3288 3828 3973 4202 4521 4584 5104 5539 6028 6303 6576 7656 7946 8404 9042 9168 11078 11919 12056 12606 15312 15892 16617 16808 18084 22156 23838 24112 25212 26167 31784 33234 33616 36168 43703 44312 47676 50424 52334 60929 63568 66468 72336 78501 87406 88624 95352 100848 104668 121858 131109 132936 157002 174812 182787 190704 209336 243716 262218 265872 287837 314004 349624 365574 418672 487432 524436 575674 628008 699248 731148 758843 863511 974864 1048872 1151348 1256016 1462296 1517686 1727022 2097744 2276529 2302696 2924592 3035372 3454044 4553058 4605392 6070744 6908088 8347273 9106116 12141488 13816176 16694546 18212232 25041819 33389092 36424464 50083638 66778184 100167276 133556368 200334552 400669104