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16319394 = 23771341
BaseRepresentation
bin111110010000…
…001110100010
31010201010000000
4332100032202
513134210034
61341440430
7255466260
oct76201642
933633000
1016319394
119237003
125570116
1334c5060
14224b430
151675599
hexf903a2

16319394 has 128 divisors (see below), whose sum is σ = 46287360. Its totient is φ = 4199040.

The previous prime is 16319383. The next prime is 16319399. The reversal of 16319394 is 49391361.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16319399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 398014 + ... + 398054.

It is an arithmetic number, because the mean of its divisors is an integer number (361620).

Almost surely, 216319394 is an apocalyptic number.

16319394 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16319394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23143680).

16319394 is an abundant number, since it is smaller than the sum of its proper divisors (29967966).

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

16319394 is an equidigital number, since it uses as much as digits as its factorization.

16319394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 66 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 16319394 is about 4039.7269709722. The cubic root of 16319394 is about 253.6498885986.

It can be divided in two parts, 1631 and 9394, that added together give a square (11025 = 1052).

The spelling of 16319394 in words is "sixteen million, three hundred nineteen thousand, three hundred ninety-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 41 42 54 63 78 81 82 91 117 123 126 162 182 189 234 243 246 273 287 351 369 378 486 533 546 567 574 702 729 738 819 861 1053 1066 1107 1134 1458 1599 1638 1701 1722 2106 2187 2214 2457 2583 3159 3198 3321 3402 3731 4374 4797 4914 5103 5166 6318 6642 7371 7462 7749 9477 9594 9963 10206 11193 14391 14742 15309 15498 18954 19926 22113 22386 23247 28431 28782 29889 30618 33579 43173 44226 46494 56862 59778 66339 67158 69741 86346 89667 100737 129519 132678 139482 179334 199017 201474 209223 259038 302211 388557 398034 418446 604422 627669 777114 906633 1165671 1255338 1813266 2331342 2719899 5439798 8159697 16319394