Search a number
-
+
210400104 = 23329302299
BaseRepresentation
bin11001000101001…
…11001101101000
3112122220102200110
430202213031220
5412330300404
632513334320
75133241245
oct1442471550
9478812613
10210400104
11a8846792
125a5673a0
1334789005
141dd2c5cc
1513710b89
hexc8a7368

210400104 has 32 divisors (see below), whose sum is σ = 544140000. Its totient is φ = 67714752.

The previous prime is 210400097. The next prime is 210400111. The reversal of 210400104 is 401004012.

It is an interprime number because it is at equal distance from previous prime (210400097) and next prime (210400111).

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

It is a self number, because there is not a number n which added to its sum of digits gives 210400104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150454 + ... + 151845.

It is an arithmetic number, because the mean of its divisors is an integer number (17004375).

Almost surely, 2210400104 is an apocalyptic number.

210400104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

210400104 is an abundant number, since it is smaller than the sum of its proper divisors (333739896).

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

210400104 is a wasteful number, since it uses less digits than its factorization.

210400104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302337 (or 302333 counting only the distinct ones).

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

The square root of 210400104 is about 14505.1750765029. The cubic root of 210400104 is about 594.7694457832.

Adding to 210400104 its reverse (401004012), we get a palindrome (611404116).

The spelling of 210400104 in words is "two hundred ten million, four hundred thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 302299 604598 906897 1209196 1813794 2418392 3627588 7255176 8766671 17533342 26300013 35066684 52600026 70133368 105200052 210400104