Search a number
-
+
7053742080 = 212325721171
BaseRepresentation
bin1101001000110111…
…11001000000000000
3200012120212020001200
412210123321000000
5103421224221310
63123534101200
7336540550500
oct64433710000
920176766050
107053742080
112a9a720910
12144a34a800
138854a16a8
144acb49a00
152b43d29c0
hex1a46f9000

7053742080 has 936 divisors, whose sum is σ = 31464448704. Its totient is φ = 1445068800.

The previous prime is 7053742063. The next prime is 7053742147. The reversal of 7053742080 is 802473507.

7053742080 is a `hidden beast` number, since 7 + 0 + 537 + 42 + 0 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 99348445 + ... + 99348515.

It is an arithmetic number, because the mean of its divisors is an integer number (33615864).

Almost surely, 27053742080 is an apocalyptic number.

7053742080 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 7053742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15732224352).

7053742080 is an abundant number, since it is smaller than the sum of its proper divisors (24410706624).

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

7053742080 is a wasteful number, since it uses less digits than its factorization.

7053742080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 7053742080 is about 83986.5589246279. The cubic root of 7053742080 is about 1917.8141791669.

The spelling of 7053742080 in words is "seven billion, fifty-three million, seven hundred forty-two thousand, eighty".