Search a number
-
+
19678464 = 28341373
BaseRepresentation
bin100101100010…
…0010100000000
31101000202210000
41023010110000
520014202324
61541440000
7326156421
oct113042400
941022700
1019678464
11101207a3
126710000
1340ccc80
142883648
151ada9c9
hex12c4500

19678464 has 180 divisors, whose sum is σ = 64056916. Its totient is φ = 5971968.

The previous prime is 19678457. The next prime is 19678489. The reversal of 19678464 is 46487691.

It can be written as a sum of positive squares in 2 ways, for example, as 6718464 + 12960000 = 2592^2 + 3600^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 269532 + ... + 269604.

Almost surely, 219678464 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 19678464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32028458).

19678464 is an abundant number, since it is smaller than the sum of its proper divisors (44378452).

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

19678464 is an equidigital number, since it uses as much as digits as its factorization.

19678464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 91 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 19678464 is about 4436.0414786158. The cubic root of 19678464 is about 269.9792576658.

The spelling of 19678464 in words is "nineteen million, six hundred seventy-eight thousand, four hundred sixty-four".