Search a number
-
+
14919828 = 22371167241
BaseRepresentation
bin111000111010…
…100010010100
31001002000011020
4320322202110
512304413303
61251441140
7240550020
oct70724224
931060136
1014919828
118470540
124bb61b0
133125001
141da5380
15149aa53
hexe3a894

14919828 has 96 divisors (see below), whose sum is σ = 44233728. Its totient is φ = 3801600.

The previous prime is 14919803. The next prime is 14919841. The reversal of 14919828 is 82891941.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 14919828.

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 31 ways as a sum of consecutive naturals, for example, 61788 + ... + 62028.

It is an arithmetic number, because the mean of its divisors is an integer number (460768).

Almost surely, 214919828 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 14919828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22116864).

14919828 is an abundant number, since it is smaller than the sum of its proper divisors (29313900).

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

14919828 is a wasteful number, since it uses less digits than its factorization.

14919828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 331 counting only the distinct ones).

The product of its digits is 41472, while the sum is 42.

The square root of 14919828 is about 3862.6193185454. The cubic root of 14919828 is about 246.1810419572.

The spelling of 14919828 in words is "fourteen million, nine hundred nineteen thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 67 77 84 132 134 154 201 231 241 268 308 402 462 469 482 723 737 804 924 938 964 1407 1446 1474 1687 1876 2211 2651 2814 2892 2948 3374 4422 5061 5159 5302 5628 6748 7953 8844 10122 10318 10604 15477 15906 16147 18557 20244 20636 30954 31812 32294 37114 48441 55671 61908 64588 74228 96882 111342 113029 177617 193764 222684 226058 339087 355234 452116 532851 678174 710468 1065702 1243319 1356348 2131404 2486638 3729957 4973276 7459914 14919828