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13402493 = 136116901
BaseRepresentation
bin110011001000…
…000101111101
3221012220202122
4303020011331
511412334433
61155132325
7221630216
oct63100575
927186678
1013402493
117624545
1245a40a5
132a13490
141acc40d
15129b198
hexcc817d

13402493 has 8 divisors (see below), whose sum is σ = 14670936. Its totient is φ = 12168000.

The previous prime is 13402471. The next prime is 13402513. The reversal of 13402493 is 39420431.

13402493 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1026169 + 12376324 = 1013^2 + 3518^2 .

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

It is not a de Polignac number, because 13402493 - 28 = 13402237 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 (13402423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7658 + ... + 9243.

It is an arithmetic number, because the mean of its divisors is an integer number (1833867).

Almost surely, 213402493 is an apocalyptic number.

13402493 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13402493 is a deficient number, since it is larger than the sum of its proper divisors (1268443).

13402493 is a wasteful number, since it uses less digits than its factorization.

13402493 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16975.

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 13402493 is about 3660.9415455590. The cubic root of 13402493 is about 237.5355027258.

The spelling of 13402493 in words is "thirteen million, four hundred two thousand, four hundred ninety-three".

Divisors: 1 13 61 793 16901 219713 1030961 13402493