Search a number
-
+
7089223680 = 21135571137
BaseRepresentation
bin1101001101000110…
…01111100000000000
3200022001121212200000
412212203033200000
5104004320124210
63131242400000
7340451256420
oct64643174000
920261555600
107089223680
113008755750
12145a200000
1388c945716
144b3744480
152b7590ac0
hex1a68cf800

7089223680 has 1152 divisors, whose sum is σ = 32625815040. Its totient is φ = 1433272320.

The previous prime is 7089223667. The next prime is 7089223721. The reversal of 7089223680 is 863229807.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191600622 + ... + 191600658.

It is an arithmetic number, because the mean of its divisors is an integer number (28321020).

Almost surely, 27089223680 is an apocalyptic number.

7089223680 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 7089223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16312907520).

7089223680 is an abundant number, since it is smaller than the sum of its proper divisors (25536591360).

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

7089223680 is a wasteful number, since it uses less digits than its factorization.

7089223680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 65 counting only the distinct ones).

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

The square root of 7089223680 is about 84197.5277546794. The cubic root of 7089223680 is about 1921.0244532858.

The spelling of 7089223680 in words is "seven billion, eighty-nine million, two hundred twenty-three thousand, six hundred eighty".