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14093760 = 263553277
BaseRepresentation
bin110101110000…
…110111000000
3222112001000010
4311300313000
512102000020
61222024520
7230536452
oct65606700
928461003
1014093760
117a5693a
124878140
132bc6005
141c2c2d2
151385de0
hexd70dc0

14093760 has 112 divisors (see below), whose sum is σ = 45756576. Its totient is φ = 3674112.

The previous prime is 14093759. The next prime is 14093767. The reversal of 14093760 is 6739041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14093767) 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 15 ways as a sum of consecutive naturals, for example, 50742 + ... + 51018.

Almost surely, 214093760 is an apocalyptic number.

14093760 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 14093760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22878288).

14093760 is an abundant number, since it is smaller than the sum of its proper divisors (31662816).

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

14093760 is a wasteful number, since it uses less digits than its factorization.

14093760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 14093760 is about 3754.1656862744. The cubic root of 14093760 is about 241.5510653345.

The spelling of 14093760 in words is "fourteen million, ninety-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 64 80 96 106 120 159 160 192 212 240 265 277 318 320 424 480 530 554 636 795 831 848 960 1060 1108 1272 1385 1590 1662 1696 2120 2216 2544 2770 3180 3324 3392 4155 4240 4432 5088 5540 6360 6648 8310 8480 8864 10176 11080 12720 13296 14681 16620 16960 17728 22160 25440 26592 29362 33240 44043 44320 50880 53184 58724 66480 73405 88086 88640 117448 132960 146810 176172 220215 234896 265920 293620 352344 440430 469792 587240 704688 880860 939584 1174480 1409376 1761720 2348960 2818752 3523440 4697920 7046880 14093760