[go: up one dir, main page]

Search a number
-
+
14860032 = 283111759
BaseRepresentation
bin111000101011…
…111100000000
31000221222010120
4320223330000
512301010112
61250300240
7240210465
oct70537400
930858116
1014860032
11842a620
124b87680
133103a25
141d8b66c
151487e8c
hexe2bf00

14860032 has 72 divisors (see below), whose sum is σ = 43169280. Its totient is φ = 4500480.

The previous prime is 14860019. The next prime is 14860049. The reversal of 14860032 is 23006841.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 14859984 and 14860011.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7569 + ... + 9327.

Almost surely, 214860032 is an apocalyptic number.

14860032 is a gapful number since it is divisible by the number (12) 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 14860032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21584640).

14860032 is an abundant number, since it is smaller than the sum of its proper divisors (28309248).

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

14860032 is a wasteful number, since it uses less digits than its factorization.

14860032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 14860032 is about 3854.8712040741. The cubic root of 14860032 is about 245.8517184246.

Adding to 14860032 its reverse (23006841), we get a palindrome (37866873).

The spelling of 14860032 in words is "fourteen million, eight hundred sixty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 1759 2112 2816 3518 4224 5277 7036 8448 10554 14072 19349 21108 28144 38698 42216 56288 58047 77396 84432 112576 116094 154792 168864 225152 232188 309584 337728 450304 464376 619168 675456 928752 1238336 1350912 1857504 2476672 3715008 4953344 7430016 14860032