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14926680 = 2334517271
BaseRepresentation
bin111000111100…
…001101011000
31001002100120000
4320330031120
512310123210
61251533000
7240606006
oct70741530
931070500
1014926680
1184756aa
124bba160
133128172
141da7a76
15149cac0
hexe3c358

14926680 has 160 divisors (see below), whose sum is σ = 53317440. Its totient is φ = 3732480.

The previous prime is 14926673. The next prime is 14926687. The reversal of 14926680 is 8662941.

14926680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14926673) and next prime (14926687).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14926687) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54945 + ... + 55215.

It is an arithmetic number, because the mean of its divisors is an integer number (333234).

Almost surely, 214926680 is an apocalyptic number.

14926680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14926680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26658720).

14926680 is an abundant number, since it is smaller than the sum of its proper divisors (38390760).

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

14926680 is a wasteful number, since it uses less digits than its factorization.

14926680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 14926680 is about 3863.5061796249. The cubic root of 14926680 is about 246.2187227833.

The spelling of 14926680 in words is "fourteen million, nine hundred twenty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 81 85 90 102 108 120 135 136 153 162 170 180 204 216 255 270 271 306 324 340 360 405 408 459 510 540 542 612 648 680 765 810 813 918 1020 1080 1084 1224 1355 1377 1530 1620 1626 1836 2040 2168 2295 2439 2710 2754 3060 3240 3252 3672 4065 4590 4607 4878 5420 5508 6120 6504 6885 7317 8130 9180 9214 9756 10840 11016 12195 13770 13821 14634 16260 18360 18428 19512 21951 23035 24390 27540 27642 29268 32520 36585 36856 41463 43902 46070 48780 55080 55284 58536 69105 73170 82926 87804 92140 97560 109755 110568 124389 138210 146340 165852 175608 184280 207315 219510 248778 276420 292680 331704 373167 414630 439020 497556 552840 621945 746334 829260 878040 995112 1243890 1492668 1658520 1865835 2487780 2985336 3731670 4975560 7463340 14926680