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16912314 = 235172389
BaseRepresentation
bin100000010000…
…0111110111010
31011211020100000
41000200332322
513312143224
61402253430
7263516016
oct100407672
934736300
1016912314
119601521
1257b7276
133671bb3
142363546
1517410c9
hex1020fba

16912314 has 96 divisors (see below), whose sum is σ = 42456960. Its totient is φ = 5018112.

The previous prime is 16912309. The next prime is 16912319. The reversal of 16912314 is 41321961.

It is an interprime number because it is at equal distance from previous prime (16912309) and next prime (16912319).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16912319) 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 47 ways as a sum of consecutive naturals, for example, 189982 + ... + 190070.

It is an arithmetic number, because the mean of its divisors is an integer number (442260).

Almost surely, 216912314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16912314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21228480).

16912314 is an abundant number, since it is smaller than the sum of its proper divisors (25544646).

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

16912314 is a wasteful number, since it uses less digits than its factorization.

16912314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 134 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 16912314 is about 4112.4583888472. The cubic root of 16912314 is about 256.6853077670.

It can be divided in two parts, 1691 and 2314, that added together give a triangular number (4005 = T89).

The spelling of 16912314 in words is "sixteen million, nine hundred twelve thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 17 18 23 27 34 46 51 54 69 81 89 102 138 153 162 178 207 243 267 306 391 414 459 486 534 621 782 801 918 1173 1242 1377 1513 1602 1863 2047 2346 2403 2754 3026 3519 3726 4094 4131 4539 4806 5589 6141 7038 7209 8262 9078 10557 11178 12282 13617 14418 18423 21114 21627 27234 31671 34799 36846 40851 43254 55269 63342 69598 81702 95013 104397 110538 122553 165807 190026 208794 245106 313191 331614 367659 497421 626382 735318 939573 994842 1879146 2818719 5637438 8456157 16912314