Search a number
-
+
100036461 = 374763641
BaseRepresentation
bin1011111011001…
…10111101101101
320222020101020010
411331212331231
5201102131321
613532043433
72323203330
oct575467555
9228211203
10100036461
1151516968
1229603579
1317957295
14d400617
158bb0676
hex5f66f6d

100036461 has 8 divisors (see below), whose sum is σ = 152436544. Its totient is φ = 57163680.

The previous prime is 100036451. The next prime is 100036481. The reversal of 100036461 is 164630001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100036461 - 25 = 100036429 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 4763641 = 100036461 / (1 + 0 + 0 + 0 + 3 + 6 + 4 + 6 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100036421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2381800 + ... + 2381841.

It is an arithmetic number, because the mean of its divisors is an integer number (19054568).

Almost surely, 2100036461 is an apocalyptic number.

It is an amenable number.

100036461 is a deficient number, since it is larger than the sum of its proper divisors (52400083).

100036461 is an equidigital number, since it uses as much as digits as its factorization.

100036461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4763651.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 100036461 is about 10001.8228838547. The cubic root of 100036461 is about 464.2152888300.

Adding to 100036461 its reverse (164630001), we get a palindrome (264666462).

The spelling of 100036461 in words is "one hundred million, thirty-six thousand, four hundred sixty-one".

Divisors: 1 3 7 21 4763641 14290923 33345487 100036461