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1138975992 = 233572111087
BaseRepresentation
bin100001111100011…
…0110010011111000
32221101011222100000
41003320312103320
54313034212432
6305004113000
740140064500
oct10370662370
92841158300
101138975992
11534a16580
12279535760
13151c793bb
14ab3a6a00
1569ed457c
hex43e364f8

1138975992 has 288 divisors, whose sum is σ = 4063288320. Its totient is φ = 295565760.

The previous prime is 1138975973. The next prime is 1138975993. The reversal of 1138975992 is 2995798311.

1138975992 is a `hidden beast` number, since 11 + 38 + 9 + 7 + 599 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138975993) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1047273 + ... + 1048359.

It is an arithmetic number, because the mean of its divisors is an integer number (14108640).

Almost surely, 21138975992 is an apocalyptic number.

1138975992 is a gapful number since it is divisible by the number (12) 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 1138975992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031644160).

1138975992 is an abundant number, since it is smaller than the sum of its proper divisors (2924312328).

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

1138975992 is a wasteful number, since it uses less digits than its factorization.

1138975992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1110 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 54.

The square root of 1138975992 is about 33748.7183756658. The cubic root of 1138975992 is about 1044.3310484035.

The spelling of 1138975992 in words is "one billion, one hundred thirty-eight million, nine hundred seventy-five thousand, nine hundred ninety-two".