Search a number
-
+
14893080 = 2335791571
BaseRepresentation
bin111000110100…
…000000011000
31001000122110120
4320310000120
512303034310
61251113240
7240406026
oct70640030
931018416
1014893080
118452434
124ba2820
133115a97
141d99716
151492b70
hexe34018

14893080 has 64 divisors (see below), whose sum is σ = 45273600. Its totient is φ = 3918720.

The previous prime is 14893069. The next prime is 14893091. The reversal of 14893080 is 8039841.

It is an interprime number because it is at equal distance from previous prime (14893069) and next prime (14893091).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8695 + ... + 10265.

It is an arithmetic number, because the mean of its divisors is an integer number (707400).

Almost surely, 214893080 is an apocalyptic number.

14893080 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 14893080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22636800).

14893080 is an abundant number, since it is smaller than the sum of its proper divisors (30380520).

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

14893080 is a wasteful number, since it uses less digits than its factorization.

14893080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 14893080 is about 3859.1553480004. The cubic root of 14893080 is about 246.0338376350.

The spelling of 14893080 in words is "fourteen million, eight hundred ninety-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 316 395 474 632 790 948 1185 1571 1580 1896 2370 3142 3160 4713 4740 6284 7855 9426 9480 12568 15710 18852 23565 31420 37704 47130 62840 94260 124109 188520 248218 372327 496436 620545 744654 992872 1241090 1489308 1861635 2482180 2978616 3723270 4964360 7446540 14893080