Search a number
-
+
14171940 = 22325431831
BaseRepresentation
bin110110000011…
…111100100100
3222200000020200
4312003330210
512112000230
61223430500
7231313416
oct66037444
928600220
1014171940
117aaa652
1248b5430
132c22783
141c4c9b6
15139e160
hexd83f24

14171940 has 72 divisors (see below), whose sum is σ = 44011968. Its totient is φ = 3689280.

The previous prime is 14171939. The next prime is 14171951. The reversal of 14171940 is 4917141.

14171940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6825 + ... + 8655.

Almost surely, 214171940 is an apocalyptic number.

14171940 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 14171940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22005984).

14171940 is an abundant number, since it is smaller than the sum of its proper divisors (29840028).

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

14171940 is a wasteful number, since it uses less digits than its factorization.

14171940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 14171940 is about 3764.5637197423. The cubic root of 14171940 is about 241.9968808650.

The spelling of 14171940 in words is "fourteen million, one hundred seventy-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1831 1935 2580 3662 3870 5493 7324 7740 9155 10986 16479 18310 21972 27465 32958 36620 54930 65916 78733 82395 109860 157466 164790 236199 314932 329580 393665 472398 708597 787330 944796 1180995 1417194 1574660 2361990 2834388 3542985 4723980 7085970 14171940