Search a number
-
+
14126080 = 21053189
BaseRepresentation
bin110101111000…
…110000000000
3222120200100011
4311320300000
512104013310
61222434304
7231032623
oct65706000
928520304
1014126080
117a79151
124892994
132c07937
141c39dba
15139078a
hexd78c00

14126080 has 88 divisors (see below), whose sum is σ = 35372160. Its totient is φ = 5406720.

The previous prime is 14126053. The next prime is 14126081. The reversal of 14126080 is 8062141.

It is a super-2 number, since 2×141260802 = 399092272332800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14126081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158676 + ... + 158764.

Almost surely, 214126080 is an apocalyptic number.

14126080 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 14126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17686080).

14126080 is an abundant number, since it is smaller than the sum of its proper divisors (21246080).

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

14126080 is an equidigital number, since it uses as much as digits as its factorization.

14126080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 14126080 is about 3758.4677729096. The cubic root of 14126080 is about 241.7355670896.

The spelling of 14126080 in words is "fourteen million, one hundred twenty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 89 124 128 155 160 178 248 256 310 320 356 445 496 512 620 640 712 890 992 1024 1240 1280 1424 1780 1984 2480 2560 2759 2848 3560 3968 4960 5120 5518 5696 7120 7936 9920 11036 11392 13795 14240 15872 19840 22072 22784 27590 28480 31744 39680 44144 45568 55180 56960 79360 88288 91136 110360 113920 158720 176576 220720 227840 353152 441440 455680 706304 882880 1412608 1765760 2825216 3531520 7063040 14126080