[go: up one dir, main page]

Search a number
-
+
400134105 = 32572355229
BaseRepresentation
bin10111110110011…
…000111111011001
31000212220220210200
4113312120333121
51304413242410
6103412132413
712626040510
oct2766307731
91025826720
10400134105
11195957748
12b2007109
1364b8a657
143b1db677
15251dd3c0
hex17d98fd9

400134105 has 48 divisors (see below), whose sum is σ = 827124480. Its totient is φ = 174962304.

The previous prime is 400134079. The next prime is 400134149. The reversal of 400134105 is 501431004.

It is a happy number.

It is not a de Polignac number, because 400134105 - 29 = 400133593 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 20370 + ... + 34859.

It is an arithmetic number, because the mean of its divisors is an integer number (17231760).

Almost surely, 2400134105 is an apocalyptic number.

400134105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

400134105 is an abundant number, since it is smaller than the sum of its proper divisors (426990375).

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

400134105 is a wasteful number, since it uses less digits than its factorization.

400134105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55270 (or 55267 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 400134105 is about 20003.3523440447. The cubic root of 400134105 is about 736.8886317018. Note that the first 3 decimals are identical.

Adding to 400134105 its reverse (501431004), we get a palindrome (901565109).

The spelling of 400134105 in words is "four hundred million, one hundred thirty-four thousand, one hundred five".

Divisors: 1 3 5 7 9 15 21 23 35 45 63 69 105 115 161 207 315 345 483 805 1035 1449 2415 7245 55229 165687 276145 386603 497061 828435 1159809 1270267 1933015 2485305 3479427 3810801 5799045 6351335 8891869 11432403 17397135 19054005 26675607 44459345 57162015 80026821 133378035 400134105