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1097331840 = 273351123251
BaseRepresentation
bin100000101100111…
…1111010010000000
32211110211020022000
41001121333102000
54221404104330
6300515344000
736123111123
oct10131772200
92743736260
101097331840
11513462720
122675b2000
131464583a7
14a5a463ba
156650a560
hex4167f480

1097331840 has 512 divisors, whose sum is σ = 4441651200. Its totient is φ = 253440000.

The previous prime is 1097331799. The next prime is 1097331881. The reversal of 1097331840 is 481337901.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1097331799) and next prime (1097331881).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1097331795 and 1097331804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4371715 + ... + 4371965.

It is an arithmetic number, because the mean of its divisors is an integer number (8675100).

Almost surely, 21097331840 is an apocalyptic number.

1097331840 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 1097331840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220825600).

1097331840 is an abundant number, since it is smaller than the sum of its proper divisors (3344319360).

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

1097331840 is a wasteful number, since it uses less digits than its factorization.

1097331840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1097331840 is about 33125.9994566202. Note that the first 3 decimals coincide. The cubic root of 1097331840 is about 1031.4448068343. Note that the first 3 decimals are identical.

Adding to 1097331840 its sum of digits (36), we get a square (1097331876 = 331262).

The spelling of 1097331840 in words is "one billion, ninety-seven million, three hundred thirty-one thousand, eight hundred forty".