[go: up one dir, main page]

Search a number
-
+
14120832 = 273113343
BaseRepresentation
bin110101110111…
…011110000000
3222120102010210
4311313132000
512103331312
61222354120
7231011415
oct65673600
928512123
1014120832
117a75210
12488b940
132c0542b
141c3810c
15138de3c
hexd77780

14120832 has 64 divisors (see below), whose sum is σ = 40930560. Its totient is φ = 4277760.

The previous prime is 14120831. The next prime is 14120833. The reversal of 14120832 is 23802141.

It is an interprime number because it is at equal distance from previous prime (14120831) and next prime (14120833).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 14120799 and 14120808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14120831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2553 + ... + 5895.

It is an arithmetic number, because the mean of its divisors is an integer number (639540).

Almost surely, 214120832 is an apocalyptic number.

14120832 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 14120832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20465280).

14120832 is an abundant number, since it is smaller than the sum of its proper divisors (26809728).

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

14120832 is a wasteful number, since it uses less digits than its factorization.

14120832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3371 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 14120832 is about 3757.7695512099. The cubic root of 14120832 is about 241.7056275407.

Adding to 14120832 its reverse (23802141), we get a palindrome (37922973).

The spelling of 14120832 in words is "fourteen million, one hundred twenty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 3343 4224 6686 10029 13372 20058 26744 36773 40116 53488 73546 80232 106976 110319 147092 160464 213952 220638 294184 320928 427904 441276 588368 641856 882552 1176736 1283712 1765104 2353472 3530208 4706944 7060416 14120832