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16313319 = 351117359
BaseRepresentation
bin111110001110…
…101111100111
31010200210200000
4332032233213
513134011234
61341352343
7255442461
oct76165747
933623600
1016313319
119232490
1255686b3
1334c2369
142249131
151673899
hexf8ebe7

16313319 has 48 divisors (see below), whose sum is σ = 28304640. Its totient is φ = 9279360.

The previous prime is 16313309. The next prime is 16313333. The reversal of 16313319 is 91331361.

It is not a de Polignac number, because 16313319 - 25 = 16313287 is a prime.

It is a super-2 number, since 2×163133192 = 532248753591522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 16313292 and 16313301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16313309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45262 + ... + 45620.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

It is a self-describing number.

Almost surely, 216313319 is an apocalyptic number.

16313319 is a deficient number, since it is larger than the sum of its proper divisors (11991321).

16313319 is a wasteful number, since it uses less digits than its factorization.

16313319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 390 counting only the distinct ones).

The product of its digits is 1458, while the sum is 27.

The square root of 16313319 is about 4038.9749937329. The cubic root of 16313319 is about 253.6184104216.

It can be divided in two parts, 1631 and 3319, that added together give a triangular number (4950 = T99).

The spelling of 16313319 in words is "sixteen million, three hundred thirteen thousand, three hundred nineteen".

Divisors: 1 3 9 11 17 27 33 51 81 99 153 187 243 297 359 459 561 891 1077 1377 1683 2673 3231 3949 4131 5049 6103 9693 11847 15147 18309 29079 35541 45441 54927 67133 87237 106623 164781 201399 319869 494343 604197 959607 1483029 1812591 5437773 16313319