Search a number
-
+
14828340 = 2235534663
BaseRepresentation
bin111000100100…
…001100110100
31000220100122210
4320210030310
512244001330
61245453420
7240016212
oct70441464
930810583
1014828340
11840882a
124b71270
1330c2487
141d7dcb2
15147d8b0
hexe24334

14828340 has 48 divisors (see below), whose sum is σ = 42311808. Its totient is φ = 3878784.

The previous prime is 14828339. The next prime is 14828357. The reversal of 14828340 is 4382841.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14828298 and 14828307.

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, 849 + ... + 5511.

It is an arithmetic number, because the mean of its divisors is an integer number (881496).

Almost surely, 214828340 is an apocalyptic number.

14828340 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 14828340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21155904).

14828340 is an abundant number, since it is smaller than the sum of its proper divisors (27483468).

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

14828340 is a wasteful number, since it uses less digits than its factorization.

14828340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4728 (or 4726 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 14828340 is about 3850.7583668675. The cubic root of 14828340 is about 245.6768179884.

The spelling of 14828340 in words is "fourteen million, eight hundred twenty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 4663 9326 13989 18652 23315 27978 46630 55956 69945 93260 139890 247139 279780 494278 741417 988556 1235695 1482834 2471390 2965668 3707085 4942780 7414170 14828340