[go: up one dir, main page]

Search a number
-
+
210104400 = 243521121447
BaseRepresentation
bin11001000010111…
…11000001010000
3112122100102001110
430201133001100
5412241320100
632503133320
75130600162
oct1441370120
9478312043
10210104400
11a8664600
125a444240
13346b453c
141dc92932
15136a3250
hexc85f050

210104400 has 180 divisors, whose sum is σ = 740292896. Its totient is φ = 50899200.

The previous prime is 210104387. The next prime is 210104417. The reversal of 210104400 is 4401012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 144477 + ... + 145923.

Almost surely, 2210104400 is an apocalyptic number.

210104400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370146448).

210104400 is an abundant number, since it is smaller than the sum of its proper divisors (530188496).

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

210104400 is a wasteful number, since it uses less digits than its factorization.

210104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 210104400 is about 14494.9784408256. The cubic root of 210104400 is about 594.4906782362.

Adding to 210104400 its reverse (4401012), we get a palindrome (214505412).

The spelling of 210104400 in words is "two hundred ten million, one hundred four thousand, four hundred".