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13590993 = 313348487
BaseRepresentation
bin110011110110…
…000111010001
3221120111100010
4303312013101
511434402433
61203145133
7223343613
oct63660721
927514303
1013590993
117743129
1246751a9
132a7b210
141b3adb3
1512d6e63
hexcf61d1

13590993 has 8 divisors (see below), whose sum is σ = 19515328. Its totient is φ = 8363664.

The previous prime is 13590979. The next prime is 13591013. The reversal of 13590993 is 39909531.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13590993 - 24 = 13590977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39), and also a Moran number because the ratio is a prime number: 348487 = 13590993 / (1 + 3 + 5 + 9 + 0 + 9 + 9 + 3).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13590593) 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 7 ways as a sum of consecutive naturals, for example, 174205 + ... + 174282.

It is an arithmetic number, because the mean of its divisors is an integer number (2439416).

Almost surely, 213590993 is an apocalyptic number.

13590993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13590993 is a deficient number, since it is larger than the sum of its proper divisors (5924335).

13590993 is a wasteful number, since it uses less digits than its factorization.

13590993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348503.

The product of its (nonzero) digits is 32805, while the sum is 39.

The square root of 13590993 is about 3686.5963977631. The cubic root of 13590993 is about 238.6439321252.

The spelling of 13590993 in words is "thirteen million, five hundred ninety thousand, nine hundred ninety-three".

Divisors: 1 3 13 39 348487 1045461 4530331 13590993