Search a number
-
+
400113204 = 223277120371
BaseRepresentation
bin10111110110010…
…011111000110100
31000212212212010120
4113312103320310
51304412110304
6103411451540
712625622541
oct2766237064
91025785116
10400113204
11195942a77
12b1bb6bb0
1364b80c9a
143b1d3bc8
15251d70d9
hex17d93e34

400113204 has 24 divisors (see below), whose sum is σ = 936975648. Its totient is φ = 132888480.

The previous prime is 400113199. The next prime is 400113223. The reversal of 400113204 is 402311004.

It is a super-4 number, since 4×4001132044 (a number of 36 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56862 + ... + 63509.

It is an arithmetic number, because the mean of its divisors is an integer number (39040652).

Almost surely, 2400113204 is an apocalyptic number.

It is an amenable number.

400113204 is an abundant number, since it is smaller than the sum of its proper divisors (536862444).

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

400113204 is a wasteful number, since it uses less digits than its factorization.

400113204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120655 (or 120653 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 400113204 is about 20002.8298997917. The cubic root of 400113204 is about 736.8758010223.

Adding to 400113204 its reverse (402311004), we get a palindrome (802424208).

It can be divided in two parts, 4001 and 13204, that added together give a triangular number (17205 = T185).

The spelling of 400113204 in words is "four hundred million, one hundred thirteen thousand, two hundred four".

Divisors: 1 2 3 4 6 12 277 554 831 1108 1662 3324 120371 240742 361113 481484 722226 1444452 33342767 66685534 100028301 133371068 200056602 400113204