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13713993 = 322775501
BaseRepresentation
bin110100010100…
…001001001001
3221210202001200
4310110021021
512002321433
61205534413
7224365326
oct64241111
927722050
1013713993
117817587
124714409
132ac21b7
141b6db4d
15130d613
hexd14249

13713993 has 12 divisors (see below), whose sum is σ = 19884228. Its totient is φ = 9108000.

The previous prime is 13713977. The next prime is 13714009. The reversal of 13713993 is 39931731.

It is an interprime number because it is at equal distance from previous prime (13713977) and next prime (13714009).

It can be written as a sum of positive squares in 2 ways, for example, as 8838729 + 4875264 = 2973^2 + 2208^2 .

It is not a de Polignac number, because 13713993 - 24 = 13713977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13713913) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 258 + ... + 5243.

It is an arithmetic number, because the mean of its divisors is an integer number (1657019).

Almost surely, 213713993 is an apocalyptic number.

It is an amenable number.

13713993 is a deficient number, since it is larger than the sum of its proper divisors (6170235).

13713993 is a wasteful number, since it uses less digits than its factorization.

13713993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5784 (or 5781 counting only the distinct ones).

The product of its digits is 15309, while the sum is 36.

The square root of 13713993 is about 3703.2408779338. The cubic root of 13713993 is about 239.3616892525.

It can be divided in two parts, 13713 and 993, that added together give a triangular number (14706 = T171).

The spelling of 13713993 in words is "thirteen million, seven hundred thirteen thousand, nine hundred ninety-three".

Divisors: 1 3 9 277 831 2493 5501 16503 49509 1523777 4571331 13713993