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1097027136 = 263217234871
BaseRepresentation
bin100000101100011…
…0100111001000000
32211110020202022200
41001120310321000
54221314332021
6300505033200
736120401562
oct10130647100
92743222280
101097027136
115132747a7
12267485800
1314637c7aa
14a59a7332
156649a126
hex41634e40

1097027136 has 168 divisors, whose sum is σ = 3474866304. Its totient is φ = 329134080.

The previous prime is 1097027131. The next prime is 1097027161. The reversal of 1097027136 is 6317207901.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1097027136.

It is not an unprimeable number, because it can be changed into a prime (1097027131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222781 + ... + 227651.

It is an arithmetic number, because the mean of its divisors is an integer number (20683728).

Almost surely, 21097027136 is an apocalyptic number.

1097027136 is a gapful number since it is divisible by the number (16) 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 1097027136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737433152).

1097027136 is an abundant number, since it is smaller than the sum of its proper divisors (2377839168).

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

1097027136 is a wasteful number, since it uses less digits than its factorization.

1097027136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4929 (or 4916 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 1097027136 is about 33121.3999704119. The cubic root of 1097027136 is about 1031.3493284380.

The spelling of 1097027136 in words is "one billion, ninety-seven million, twenty-seven thousand, one hundred thirty-six".