Search a number
-
+
400360896 = 263213127421
BaseRepresentation
bin10111110111010…
…000010111000000
31000220100102220100
4113313100113000
51304443022041
6103421042400
712631003635
oct2767202700
91026312810
10400360896
11195aa2081
12b20b6400
1364c39950
143b25a18c
15252356b6
hex17dd05c0

400360896 has 168 divisors, whose sum is σ = 1248525824. Its totient is φ = 121927680.

The previous prime is 400360889. The next prime is 400360901. The reversal of 400360896 is 698063004.

400360896 is a `hidden beast` number, since 40 + 0 + 3 + 608 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 400360896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 950766 + ... + 951186.

Almost surely, 2400360896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400360896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624262912).

400360896 is an abundant number, since it is smaller than the sum of its proper divisors (848164928).

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

400360896 is a wasteful number, since it uses less digits than its factorization.

400360896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 400360896 is about 20009.0203658250. The cubic root of 400360896 is about 737.0278251570.

The spelling of 400360896 in words is "four hundred million, three hundred sixty thousand, eight hundred ninety-six".