Search a number
-
+
14070160 = 2451383163
BaseRepresentation
bin110101101011…
…000110010000
3222110211122001
4311223012100
512100221120
61221323344
7230410606
oct65530620
928424561
1014070160
117a40135
124866554
132bb8350
141c23876
15137de0a
hexd6b190

14070160 has 80 divisors (see below), whose sum is σ = 35872704. Its totient is φ = 5101056.

The previous prime is 14070157. The next prime is 14070163. The reversal of 14070160 is 6107041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14070157) and next prime (14070163).

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 (14070163) 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, 86239 + ... + 86401.

Almost surely, 214070160 is an apocalyptic number.

14070160 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 14070160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17936352).

14070160 is an abundant number, since it is smaller than the sum of its proper divisors (21802544).

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

14070160 is a wasteful number, since it uses less digits than its factorization.

14070160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 14070160 is about 3751.0211942883. The cubic root of 14070160 is about 241.4161642626.

The spelling of 14070160 in words is "fourteen million, seventy thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 83 104 130 163 166 208 260 326 332 415 520 652 664 815 830 1040 1079 1304 1328 1630 1660 2119 2158 2608 3260 3320 4238 4316 5395 6520 6640 8476 8632 10595 10790 13040 13529 16952 17264 21190 21580 27058 33904 42380 43160 54116 67645 84760 86320 108232 135290 169520 175877 216464 270580 351754 541160 703508 879385 1082320 1407016 1758770 2814032 3517540 7035080 14070160