[go: up one dir, main page]

Search a number
-
+
14494464 = 2835233
BaseRepresentation
bin110111010010…
…101100000000
31000021101200000
4313102230000
512202310324
61234400000
7234125625
oct67225400
930241600
1014494464
1181aa9a6
124a30000
13300650a
141cd434c
1514149c9
hexdd2b00

14494464 has 108 divisors (see below), whose sum is σ = 43524936. Its totient is φ = 4810752.

The previous prime is 14494429. The next prime is 14494477. The reversal of 14494464 is 46449441.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62092 + ... + 62324.

Almost surely, 214494464 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 14494464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21762468).

14494464 is an abundant number, since it is smaller than the sum of its proper divisors (29030472).

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

14494464 is an frugal number, since it uses more digits than its factorization.

14494464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 238 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 14494464 is about 3807.1595711239. The cubic root of 14494464 is about 243.8189106939.

The spelling of 14494464 in words is "fourteen million, four hundred ninety-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 233 243 256 288 324 384 432 466 486 576 648 699 768 864 932 972 1152 1296 1398 1728 1864 1944 2097 2304 2592 2796 3456 3728 3888 4194 5184 5592 6291 6912 7456 7776 8388 10368 11184 12582 14912 15552 16776 18873 20736 22368 25164 29824 31104 33552 37746 44736 50328 56619 59648 62208 67104 75492 89472 100656 113238 134208 150984 178944 201312 226476 268416 301968 402624 452952 536832 603936 805248 905904 1207872 1610496 1811808 2415744 3623616 4831488 7247232 14494464