Search a number
BaseRepresentation
bin100001100011101…
…1010011010000000
32220110210120110000
41003013122122000
54301230013030
6303422240000
736621661230
oct10307323200
92813716400
101126016640
11528674a71
12275126000
1314c38c848
14a9791cc0
1568cc4860
hex431da680

1126016640 has 640 divisors, whose sum is σ = 4798569600. Its totient is φ = 246177792.

The previous prime is 1126016609. The next prime is 1126016663. The reversal of 1126016640 is 466106211.

1126016640 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 0 + 16 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10523467 + ... + 10523573.

It is an arithmetic number, because the mean of its divisors is an integer number (7497765).

Almost surely, 21126016640 is an apocalyptic number.

1126016640 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 1126016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399284800).

1126016640 is an abundant number, since it is smaller than the sum of its proper divisors (3672552960).

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

1126016640 is a wasteful number, since it uses less digits than its factorization.

1126016640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1126016640 is about 33556.1714145103. The cubic root of 1126016640 is about 1040.3551055607.

The spelling of 1126016640 in words is "one billion, one hundred twenty-six million, sixteen thousand, six hundred forty".