[go: up one dir, main page]

Search a number
-
+
8074080 = 25345789
BaseRepresentation
bin11110110011001101100000
3120012012120000
4132303031200
54031332310
6445020000
7125425410
oct36631540
916165500
108074080
1146151a3
122854600
131899081
141102640
15a974c0
hex7b3360

8074080 has 240 divisors, whose sum is σ = 32931360. Its totient is φ = 1824768.

The previous prime is 8074057. The next prime is 8074097. The reversal of 8074080 is 804708.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 90676 + ... + 90764.

It is an arithmetic number, because the mean of its divisors is an integer number (137214).

Almost surely, 28074080 is an apocalyptic number.

8074080 is a gapful number since it is divisible by the number (80) 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 8074080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16465680).

8074080 is an abundant number, since it is smaller than the sum of its proper divisors (24857280).

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

8074080 is a wasteful number, since it uses less digits than its factorization.

8074080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 8074080 is about 2841.4925655366. The cubic root of 8074080 is about 200.6154375738.

Adding to 8074080 its reverse (804708), we get a palindrome (8878788).

The spelling of 8074080 in words is "eight million, seventy-four thousand, eighty".