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1097391456 = 253374232
BaseRepresentation
bin100000101101000…
…1101110101100000
32211110221021002000
41001122031311200
54221413011311
6300520524000
736123450000
oct10132156540
92743837060
101097391456
115134a3497
12267620600
13146479575
14a5a60000
156651d056
hex4168dd60

1097391456 has 360 divisors, whose sum is σ = 3903361560. Its totient is φ = 299908224.

The previous prime is 1097391409. The next prime is 1097391457. The reversal of 1097391456 is 6541937901.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1097391456 is a `hidden beast` number, since 109 + 7 + 3 + 91 + 456 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1097391457) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 47712661 + ... + 47712683.

It is an arithmetic number, because the mean of its divisors is an integer number (10842671).

Almost surely, 21097391456 is an apocalyptic number.

1097391456 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 1097391456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951680780).

1097391456 is an abundant number, since it is smaller than the sum of its proper divisors (2805970104).

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

1097391456 is an frugal number, since it uses more digits than its factorization.

1097391456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 1097391456 is about 33126.8992813997. The cubic root of 1097391456 is about 1031.4634853227.

The spelling of 1097391456 in words is "one billion, ninety-seven million, three hundred ninety-one thousand, four hundred fifty-six".