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16413360 = 243568389
BaseRepresentation
bin111110100111…
…001010110000
31010212212220020
4332213022300
513200211420
61343443440
7256340235
oct76471260
933785806
1016413360
1192a0667
1255b6580
133528a62
14227378c
151693340
hexfa72b0

16413360 has 40 divisors (see below), whose sum is σ = 50882160. Its totient is φ = 4376832.

The previous prime is 16413349. The next prime is 16413367. The reversal of 16413360 is 6331461.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 16413360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16413367) 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, 33955 + ... + 34434.

It is an arithmetic number, because the mean of its divisors is an integer number (1272054).

Almost surely, 216413360 is an apocalyptic number.

16413360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16413360 is an abundant number, since it is smaller than the sum of its proper divisors (34468800).

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

16413360 is a wasteful number, since it uses less digits than its factorization.

16413360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68405 (or 68399 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 16413360 is about 4051.3405188900. The cubic root of 16413360 is about 254.1357903309.

The spelling of 16413360 in words is "sixteen million, four hundred thirteen thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 68389 136778 205167 273556 341945 410334 547112 683890 820668 1025835 1094224 1367780 1641336 2051670 2735560 3282672 4103340 5471120 8206680 16413360