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14126960 = 245415973
BaseRepresentation
bin110101111000…
…111101110000
3222120201112202
4311320331300
512104030320
61222442332
7231035321
oct65707560
928521482
1014126960
117a79881
1248933a8
132c08163
141c3a448
151390b75
hexd78f70

14126960 has 80 divisors (see below), whose sum is σ = 34685280. Its totient is φ = 5345280.

The previous prime is 14126953. The next prime is 14126963. The reversal of 14126960 is 6962141.

14126960 = T75 + T76 + ... + T439.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14126963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193484 + ... + 193556.

It is an arithmetic number, because the mean of its divisors is an integer number (433566).

Almost surely, 214126960 is an apocalyptic number.

14126960 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 14126960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17342640).

14126960 is an abundant number, since it is smaller than the sum of its proper divisors (20558320).

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

14126960 is a wasteful number, since it uses less digits than its factorization.

14126960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 14126960 is about 3758.5848400695. The cubic root of 14126960 is about 241.7405867148.

The spelling of 14126960 in words is "fourteen million, one hundred twenty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 41 59 73 80 82 118 146 164 205 236 292 295 328 365 410 472 584 590 656 730 820 944 1168 1180 1460 1640 2360 2419 2920 2993 3280 4307 4720 4838 5840 5986 8614 9676 11972 12095 14965 17228 19352 21535 23944 24190 29930 34456 38704 43070 47888 48380 59860 68912 86140 96760 119720 172280 176587 193520 239440 344560 353174 706348 882935 1412696 1765870 2825392 3531740 7063480 14126960