Search a number
-
+
14477940 = 22375331
BaseRepresentation
bin110111001110…
…101001110100
31000020120000000
4313032221310
512201243230
61234151300
7234026511
oct67165164
930216000
1014477940
118199544
124a22530
132ccbb39
141ccc308
15140eb60
hexdcea74

14477940 has 96 divisors (see below), whose sum is σ = 45736320. Its totient is φ = 3849120.

The previous prime is 14477933. The next prime is 14477941. The reversal of 14477940 is 4977441.

It is a super-2 number, since 2×144779402 = 419221493287200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 14477895 and 14477904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14477941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43575 + ... + 43905.

It is an arithmetic number, because the mean of its divisors is an integer number (476420).

Almost surely, 214477940 is an apocalyptic number.

14477940 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 14477940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22868160).

14477940 is an abundant number, since it is smaller than the sum of its proper divisors (31258380).

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

14477940 is an equidigital number, since it uses as much as digits as its factorization.

14477940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 14477940 is about 3804.9888304698. The cubic root of 14477940 is about 243.7262225327.

The spelling of 14477940 in words is "fourteen million, four hundred seventy-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 331 405 486 540 662 729 810 972 993 1215 1324 1458 1620 1655 1986 2187 2430 2916 2979 3310 3645 3972 4374 4860 4965 5958 6620 7290 8748 8937 9930 10935 11916 14580 14895 17874 19860 21870 26811 29790 35748 43740 44685 53622 59580 80433 89370 107244 134055 160866 178740 241299 268110 321732 402165 482598 536220 723897 804330 965196 1206495 1447794 1608660 2412990 2895588 3619485 4825980 7238970 14477940