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14660080 = 245297189
BaseRepresentation
bin110111111011…
…000111110000
31000120210211221
4313323013300
512223110310
61242114424
7235415521
oct67730760
930523757
1014660080
118303376
124aaba14
133063a06
141d38848
151448ada
hexdfb1f0

14660080 has 80 divisors (see below), whose sum is σ = 36158400. Its totient is φ = 5519360.

The previous prime is 14660059. The next prime is 14660089. The reversal of 14660080 is 8006641.

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 (14660089) 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, 164676 + ... + 164764.

It is an arithmetic number, because the mean of its divisors is an integer number (451980).

Almost surely, 214660080 is an apocalyptic number.

14660080 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 14660080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18079200).

14660080 is an abundant number, since it is smaller than the sum of its proper divisors (21498320).

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

14660080 is a wasteful number, since it uses less digits than its factorization.

14660080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 14660080 is about 3828.8483908350. The cubic root of 14660080 is about 244.7440336553.

The spelling of 14660080 in words is "fourteen million, six hundred sixty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 71 80 89 116 142 145 178 232 284 290 355 356 445 464 568 580 710 712 890 1136 1160 1420 1424 1780 2059 2320 2581 2840 3560 4118 5162 5680 6319 7120 8236 10295 10324 12638 12905 16472 20590 20648 25276 25810 31595 32944 41180 41296 50552 51620 63190 82360 101104 103240 126380 164720 183251 206480 252760 366502 505520 733004 916255 1466008 1832510 2932016 3665020 7330040 14660080