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1013054240 = 2551141101139
BaseRepresentation
bin111100011000011…
…111101100100000
32121121020111011102
4330120133230200
54033320213430
6244305133532
734050550622
oct7430375440
92547214142
101013054240
1147a92a710
1224332a2a8
13131b5aca3
1498788c12
155de0e345
hex3c61fb20

1013054240 has 192 divisors, whose sum is σ = 2720511360. Its totient is φ = 353280000.

The previous prime is 1013054233. The next prime is 1013054299. The reversal of 1013054240 is 424503101.

1013054240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7288091 + ... + 7288229.

It is an arithmetic number, because the mean of its divisors is an integer number (14169330).

Almost surely, 21013054240 is an apocalyptic number.

1013054240 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 1013054240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360255680).

1013054240 is an abundant number, since it is smaller than the sum of its proper divisors (1707457120).

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

1013054240 is a wasteful number, since it uses less digits than its factorization.

1013054240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1013054240 is about 31828.5130032806. The cubic root of 1013054240 is about 1004.3326146735.

Adding to 1013054240 its reverse (424503101), we get a palindrome (1437557341).

The spelling of 1013054240 in words is "one billion, thirteen million, fifty-four thousand, two hundred forty".