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1097320896 = 263272172287
BaseRepresentation
bin100000101100111…
…1100100111000000
32211110210200021200
41001121330213000
54221403232041
6300515221200
736123034200
oct10131744700
92743720250
101097320896
11513455481
122675a7800
13146453409
14a5a42400
15665071b6
hex4167c9c0

1097320896 has 252 divisors, whose sum is σ = 3875702688. Its totient is φ = 294948864.

The previous prime is 1097320883. The next prime is 1097320901. The reversal of 1097320896 is 6980237901.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×10973208962 = 2408226297596485632, which contains 22 as substring.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 478665 + ... + 480951.

Almost surely, 21097320896 is an apocalyptic number.

1097320896 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 1097320896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937851344).

1097320896 is an abundant number, since it is smaller than the sum of its proper divisors (2778381792).

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

1097320896 is a wasteful number, since it uses less digits than its factorization.

1097320896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 1097320896 is about 33125.8342687396. The cubic root of 1097320896 is about 1031.4413778596.

The spelling of 1097320896 in words is "one billion, ninety-seven million, three hundred twenty thousand, eight hundred ninety-six".