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109584397 = 13172321559
BaseRepresentation
bin1101000100000…
…10000000001101
321122012110112101
412202002000031
5211023200042
614512435101
72500311016
oct642020015
9248173471
10109584397
115694841a
1230848a91
131991b150
14107a800d
1599496b7
hex688200d

109584397 has 16 divisors (see below), whose sum is σ = 130394880. Its totient is φ = 91060992.

The previous prime is 109584389. The next prime is 109584407. The reversal of 109584397 is 793485901.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 109584397 - 23 = 109584389 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109584347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5697 + ... + 15862.

It is an arithmetic number, because the mean of its divisors is an integer number (8149680).

Almost surely, 2109584397 is an apocalyptic number.

109584397 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

109584397 is a deficient number, since it is larger than the sum of its proper divisors (20810483).

109584397 is a wasteful number, since it uses less digits than its factorization.

109584397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21612.

The product of its (nonzero) digits is 272160, while the sum is 46.

The square root of 109584397 is about 10468.2566361357. The cubic root of 109584397 is about 478.5377912732.

It can be divided in two parts, 1095843 and 97, that added together give a triangular number (1095940 = T1480).

The spelling of 109584397 in words is "one hundred nine million, five hundred eighty-four thousand, three hundred ninety-seven".

Divisors: 1 13 17 23 221 299 391 5083 21559 280267 366503 495857 4764539 6446141 8429569 109584397