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1097383680 = 28335113281
BaseRepresentation
bin100000101101000…
…1011111100000000
32211110220212102000
41001122023330000
54221412234210
6300520424000
736123415221
oct10132137400
92743825360
101097383680
11513498668
12267618000
13146475b73
14a5a5b248
156651aac0
hex4168bf00

1097383680 has 288 divisors, whose sum is σ = 3942630720. Its totient is φ = 289013760.

The previous prime is 1097383673. The next prime is 1097383691. The reversal of 1097383680 is 863837901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10973836802 = 2408501882260684800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3905140 + ... + 3905420.

It is an arithmetic number, because the mean of its divisors is an integer number (13689690).

Almost surely, 21097383680 is an apocalyptic number.

1097383680 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 1097383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971315360).

1097383680 is an abundant number, since it is smaller than the sum of its proper divisors (2845247040).

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

1097383680 is a wasteful number, since it uses less digits than its factorization.

1097383680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1097383680 is about 33126.7819143363. The cubic root of 1097383680 is about 1031.4610490365.

The spelling of 1097383680 in words is "one billion, ninety-seven million, three hundred eighty-three thousand, six hundred eighty".