Search a number
-
+
400013280 = 25325277787
BaseRepresentation
bin10111110101111…
…011011111100000
31000212200210001200
4113311323133200
51304400411110
6103405401200
712625025322
oct2765733740
91025623050
10400013280
11195884997
12b1b69200
1364b47664
143b1a9612
15251b76c0
hex17d7b7e0

400013280 has 72 divisors (see below), whose sum is σ = 1365050232. Its totient is φ = 106669824.

The previous prime is 400013279. The next prime is 400013311. The reversal of 400013280 is 82310004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137454 + ... + 140333.

It is an arithmetic number, because the mean of its divisors is an integer number (18959031).

Almost surely, 2400013280 is an apocalyptic number.

400013280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400013280 is an abundant number, since it is smaller than the sum of its proper divisors (965036952).

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

400013280 is a wasteful number, since it uses less digits than its factorization.

400013280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277808 (or 277797 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 400013280 is about 20000.3319972444. The cubic root of 400013280 is about 736.8144536276.

Adding to 400013280 its reverse (82310004), we get a palindrome (482323284).

The spelling of 400013280 in words is "four hundred million, thirteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 277787 555574 833361 1111148 1388935 1666722 2222296 2500083 2777870 3333444 4166805 4444592 5000166 5555740 6666888 8333610 8889184 10000332 11111480 12500415 13333776 16667220 20000664 22222960 25000830 26667552 33334440 40001328 44445920 50001660 66668880 80002656 100003320 133337760 200006640 400013280