Search a number
-
+
7014480 = 2435112657
BaseRepresentation
bin11010110000100001010000
3111012101001120
4122300201100
53243430410
6410202240
7113423244
oct32604120
914171046
107014480
113a610a0
122423380
1315b79a5
14d08424
15938570
hex6b0850

7014480 has 80 divisors (see below), whose sum is σ = 23730624. Its totient is φ = 1699840.

The previous prime is 7014467. The next prime is 7014481. The reversal of 7014480 is 844107.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 7014480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7014481) 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, 1312 + ... + 3968.

Almost surely, 27014480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7014480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11865312).

7014480 is an abundant number, since it is smaller than the sum of its proper divisors (16716144).

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

7014480 is a wasteful number, since it uses less digits than its factorization.

7014480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2684 (or 2678 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 7014480 is about 2648.4863601688. The cubic root of 7014480 is about 191.4249285923.

Adding to 7014480 its reverse (844107), we get a palindrome (7858587).

The spelling of 7014480 in words is "seven million, fourteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 2657 5314 7971 10628 13285 15942 21256 26570 29227 31884 39855 42512 53140 58454 63768 79710 87681 106280 116908 127536 146135 159420 175362 212560 233816 292270 318840 350724 438405 467632 584540 637680 701448 876810 1169080 1402896 1753620 2338160 3507240 7014480