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1135238104 = 23711131731269
BaseRepresentation
bin100001110101010…
…0101101111011000
32221010011001220201
41003222211233120
54311110104404
6304352031544
740063236040
oct10352455730
92833131821
101135238104
115328a3210
122782325b4
1315126ac30
14aaab2720
15699e6ca4
hex43aa5bd8

1135238104 has 256 divisors, whose sum is σ = 3135283200. Its totient is φ = 370483200.

The previous prime is 1135238051. The next prime is 1135238119. The reversal of 1135238104 is 4018325311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4220082 + ... + 4220350.

It is an arithmetic number, because the mean of its divisors is an integer number (12247200).

Almost surely, 21135238104 is an apocalyptic number.

1135238104 is a gapful number since it is divisible by the number (14) 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 1135238104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567641600).

1135238104 is an abundant number, since it is smaller than the sum of its proper divisors (2000045096).

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

1135238104 is a wasteful number, since it uses less digits than its factorization.

1135238104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 1135238104 is about 33693.2946444838. The cubic root of 1135238104 is about 1043.1873688791.

The spelling of 1135238104 in words is "one billion, one hundred thirty-five million, two hundred thirty-eight thousand, one hundred four".