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1121514240 = 28357113793
BaseRepresentation
bin100001011011000…
…1111001100000000
32220011022211022110
41002312033030000
54244101423430
6303141535320
736535466550
oct10266171400
92804284273
101121514240
1152607a280
12273714540
1314b4743c2
14a8d3d160
15686d57b0
hex42d8f300

1121514240 has 288 divisors, whose sum is σ = 4466843136. Its totient is φ = 232980480.

The previous prime is 1121514203. The next prime is 1121514241. The reversal of 1121514240 is 424151211.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1121514241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293784 + ... + 297576.

It is an arithmetic number, because the mean of its divisors is an integer number (15509872).

Almost surely, 21121514240 is an apocalyptic number.

1121514240 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 1121514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2233421568).

1121514240 is an abundant number, since it is smaller than the sum of its proper divisors (3345328896).

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

1121514240 is a wasteful number, since it uses less digits than its factorization.

1121514240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3835 (or 3821 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 1121514240 is about 33489.0167069742. The cubic root of 1121514240 is about 1038.9666264106.

Adding to 1121514240 its reverse (424151211), we get a palindrome (1545665451).

The spelling of 1121514240 in words is "one billion, one hundred twenty-one million, five hundred fourteen thousand, two hundred forty".