Search a number
-
+
400010320 = 24522722027
BaseRepresentation
bin10111110101111…
…010110001010000
31000212200122000001
4113311322301100
51304400312240
6103405335344
712625013563
oct2765726120
91025618001
10400010320
11195882746
12b1b67554
1364b461c8
143b1a84da
15251b689a
hex17d7ac50

400010320 has 40 divisors (see below), whose sum is σ = 934163424. Its totient is φ = 159292032.

The previous prime is 400010297. The next prime is 400010327. The reversal of 400010320 is 23010004.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×4000103202 = 320016512213004800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 400010297 and 400010306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400010327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7147 + ... + 29173.

Almost surely, 2400010320 is an apocalyptic number.

400010320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400010320 is an abundant number, since it is smaller than the sum of its proper divisors (534153104).

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

400010320 is a wasteful number, since it uses less digits than its factorization.

400010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22267 (or 22261 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 400010320 is about 20000.2579983359. The cubic root of 400010320 is about 736.8126362078.

Adding to 400010320 its reverse (23010004), we get a palindrome (423020324).

The spelling of 400010320 in words is "four hundred million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 227 454 908 1135 1816 2270 3632 4540 9080 18160 22027 44054 88108 110135 176216 220270 352432 440540 881080 1762160 5000129 10000258 20000516 25000645 40001032 50001290 80002064 100002580 200005160 400010320