Search a number
-
+
19414080 = 263457107
BaseRepresentation
bin100101000001…
…1110001000000
31100112100010000
41022003301000
514432222310
61532040000
7324005550
oct112036100
940470100
1019414080
11aa600a4
126603000
13403982a
142815160
151a874c0
hex1283c40

19414080 has 280 divisors, whose sum is σ = 79662528. Its totient is φ = 4396032.

The previous prime is 19414049. The next prime is 19414081. The reversal of 19414080 is 8041491.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (19414081) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 181387 + ... + 181493.

Almost surely, 219414080 is an apocalyptic number.

19414080 is a gapful number since it is divisible by the number (10) 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 19414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39831264).

19414080 is an abundant number, since it is smaller than the sum of its proper divisors (60248448).

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

19414080 is a wasteful number, since it uses less digits than its factorization.

19414080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 19414080 is about 4406.1411688687. The cubic root of 19414080 is about 268.7647275145.

The spelling of 19414080 in words is "nineteen million, four hundred fourteen thousand, eighty".