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1124042040 = 23325111759283
BaseRepresentation
bin100001011111111…
…1000010100111000
32220100002020210200
41002333320110320
54300223321130
6303312042200
736566125332
oct10277702470
92810066720
101124042040
11527546470
12274533360
1314bb4ab44
14a93da452
1568a34760
hex42ff8538

1124042040 has 384 divisors, whose sum is σ = 4306348800. Its totient is φ = 251228160.

The previous prime is 1124042027. The next prime is 1124042041. The reversal of 1124042040 is 402404211.

1124042040 is a `hidden beast` number, since 1 + 1 + 240 + 420 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1124042041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3971739 + ... + 3972021.

It is an arithmetic number, because the mean of its divisors is an integer number (11214450).

Almost surely, 21124042040 is an apocalyptic number.

1124042040 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 1124042040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153174400).

1124042040 is an abundant number, since it is smaller than the sum of its proper divisors (3182306760).

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

1124042040 is a wasteful number, since it uses less digits than its factorization.

1124042040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1124042040 is about 33526.7361966536. The cubic root of 1124042040 is about 1039.7466221990.

Adding to 1124042040 its reverse (402404211), we get a palindrome (1526446251).

The spelling of 1124042040 in words is "one billion, one hundred twenty-four million, forty-two thousand, forty".