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14332680 = 2333523577
BaseRepresentation
bin110110101011…
…001100001000
3222222011202000
4312223030020
512132121210
61231111000
7232553145
oct66531410
928864660
1014332680
1180aa39a
124972460
132c7a99b
141c913cc
1513d1ac0
hexdab308

14332680 has 128 divisors (see below), whose sum is σ = 49939200. Its totient is φ = 3649536.

The previous prime is 14332679. The next prime is 14332723. The reversal of 14332680 is 8623341.

14332680 = 3802 + 3812 + ... + 4602.

It is a happy number.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 24552 + ... + 25128.

It is an arithmetic number, because the mean of its divisors is an integer number (390150).

Almost surely, 214332680 is an apocalyptic number.

14332680 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 14332680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24969600).

14332680 is an abundant number, since it is smaller than the sum of its proper divisors (35606520).

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

14332680 is a wasteful number, since it uses less digits than its factorization.

14332680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 14332680 is about 3785.8526120281. The cubic root of 14332680 is about 242.9083635579.

It can be divided in two parts, 143 and 32680, that added together give a palindrome (32823).

The spelling of 14332680 in words is "fourteen million, three hundred thirty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 45 46 54 60 69 72 90 92 108 115 120 135 138 180 184 207 216 230 270 276 345 360 414 460 540 552 577 621 690 828 920 1035 1080 1154 1242 1380 1656 1731 2070 2308 2484 2760 2885 3105 3462 4140 4616 4968 5193 5770 6210 6924 8280 8655 10386 11540 12420 13271 13848 15579 17310 20772 23080 24840 25965 26542 31158 34620 39813 41544 51930 53084 62316 66355 69240 77895 79626 103860 106168 119439 124632 132710 155790 159252 199065 207720 238878 265420 311580 318504 358317 398130 477756 530840 597195 623160 716634 796260 955512 1194390 1433268 1592520 1791585 2388780 2866536 3583170 4777560 7166340 14332680