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400423120 = 2455005289
BaseRepresentation
bin10111110111011…
…111100011010000
31000220110121020221
4113313133203100
51310002014440
6103422242424
712631353226
oct2767374320
91026417227
10400423120
111960348a9
12b2126414
1364c5c076
143b274b16
1525248d4a
hex17ddf8d0

400423120 has 20 divisors (see below), whose sum is σ = 930983940. Its totient is φ = 160169216.

The previous prime is 400423103. The next prime is 400423171. The reversal of 400423120 is 21324004.

It can be written as a sum of positive squares in 2 ways, for example, as 62157456 + 338265664 = 7884^2 + 18392^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 400423094 and 400423103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2502565 + ... + 2502724.

It is an arithmetic number, because the mean of its divisors is an integer number (46549197).

Almost surely, 2400423120 is an apocalyptic number.

400423120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400423120 is an abundant number, since it is smaller than the sum of its proper divisors (530560820).

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

400423120 is a wasteful number, since it uses less digits than its factorization.

400423120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5005302 (or 5005296 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 400423120 is about 20010.5752041264. The cubic root of 400423120 is about 737.0660060784.

Adding to 400423120 its reverse (21324004), we get a palindrome (421747124).

The spelling of 400423120 in words is "four hundred million, four hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5005289 10010578 20021156 25026445 40042312 50052890 80084624 100105780 200211560 400423120