Search a number
-
+
19450368 = 2934767
BaseRepresentation
bin100101000110…
…0101000000000
31100121011220000
41022030220000
514434402433
61532520000
7324216420
oct112145000
940534800
1019450368
11aa85393
126620000
1340501c2
142824480
151a93113
hex128ca00

19450368 has 200 divisors, whose sum is σ = 67337952. Its totient is φ = 5474304.

The previous prime is 19450367. The next prime is 19450369. The reversal of 19450368 is 86305491.

19450368 is a `hidden beast` number, since 1 + 94 + 503 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (19450367) and next prime (19450369).

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (19450367) by changing a digit.

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, 290271 + ... + 290337.

Almost surely, 219450368 is an apocalyptic number.

19450368 is a gapful number since it is divisible by the number (18) 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 19450368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33668976).

19450368 is an abundant number, since it is smaller than the sum of its proper divisors (47887584).

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

19450368 is an frugal number, since it uses more digits than its factorization.

19450368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 19450368 is about 4410.2571353607. The cubic root of 19450368 is about 268.9320779485.

The spelling of 19450368 in words is "nineteen million, four hundred fifty thousand, three hundred sixty-eight".