Search a number
-
+
70318080 = 2113257109
BaseRepresentation
bin1000011000011…
…11100000000000
311220022112021100
410030033200000
5121000134310
610551054400
71512456660
oct414174000
9156275240
1070318080
1136769018
121b671400
1311750541
1494a61a0
15628eec0
hex430f800

70318080 has 288 divisors, whose sum is σ = 281080800. Its totient is φ = 15925248.

The previous prime is 70318057. The next prime is 70318091. The reversal of 70318080 is 8081307.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 645066 + ... + 645174.

It is an arithmetic number, because the mean of its divisors is an integer number (975975).

Almost surely, 270318080 is an apocalyptic number.

70318080 is a gapful number since it is divisible by the number (70) 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 70318080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140540400).

70318080 is an abundant number, since it is smaller than the sum of its proper divisors (210762720).

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

70318080 is a wasteful number, since it uses less digits than its factorization.

70318080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 70318080 is about 8385.5876359382. The cubic root of 70318080 is about 412.7518241958.

Adding to 70318080 its reverse (8081307), we get a palindrome (78399387).

The spelling of 70318080 in words is "seventy million, three hundred eighteen thousand, eighty".