Search a number
-
+
14700080 = 245533467
BaseRepresentation
bin111000000100…
…111000110000
31000122211201102
4320010320300
512230400310
61243023532
7235643243
oct70047060
930584642
1014700080
11833042a
124b0aba8
133078c95
141d4925a
1514558a5
hexe04e30

14700080 has 40 divisors (see below), whose sum is σ = 34832592. Its totient is φ = 5767424.

The previous prime is 14700079. The next prime is 14700089. The reversal of 14700080 is 8000741.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (14700089) 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, 2507 + ... + 5973.

Almost surely, 214700080 is an apocalyptic number.

14700080 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 14700080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17416296).

14700080 is an abundant number, since it is smaller than the sum of its proper divisors (20132512).

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

14700080 is a wasteful number, since it uses less digits than its factorization.

14700080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3533 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 14700080 is about 3834.0683353326. The cubic root of 14700080 is about 244.9664260532.

The spelling of 14700080 in words is "fourteen million, seven hundred thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 3467 4240 6934 13868 17335 27736 34670 55472 69340 138680 183751 277360 367502 735004 918755 1470008 1837510 2940016 3675020 7350040 14700080