Search a number
-
+
1126470240 = 2535574139
BaseRepresentation
bin100001100100100…
…1001001001100000
32220111122121200000
41003021021021200
54301334021430
6303440100000
736625560540
oct10311111140
92814577600
101126470240
11528954845
12275304600
1314c4bb14c
14a986d320
1568d63e60
hex43249260

1126470240 has 288 divisors, whose sum is σ = 4557047040. Its totient is φ = 257416704.

The previous prime is 1126470209. The next prime is 1126470259. The reversal of 1126470240 is 420746211.

1126470240 is a `hidden beast` number, since 1 + 12 + 647 + 0 + 2 + 4 + 0 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 270091 + ... + 274229.

It is an arithmetic number, because the mean of its divisors is an integer number (15823080).

Almost surely, 21126470240 is an apocalyptic number.

1126470240 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 1126470240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2278523520).

1126470240 is an abundant number, since it is smaller than the sum of its proper divisors (3430576800).

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

1126470240 is an equidigital number, since it uses as much as digits as its factorization.

1126470240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4176 (or 4156 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1126470240 is about 33562.9295503238. The cubic root of 1126470240 is about 1040.4947842909.

The spelling of 1126470240 in words is "one billion, one hundred twenty-six million, four hundred seventy thousand, two hundred forty".