Search a number
-
+
14153860 = 22571719313
BaseRepresentation
bin110101111111…
…100010000100
3222122002110001
4311333202010
512110410420
61223211044
7231206620
oct65774204
928562401
1014153860
117a98006
1248a6a84
132c17486
141c46180
151398b0a
hexd7f884

14153860 has 96 divisors (see below), whose sum is σ = 37981440. Its totient is φ = 4313088.

The previous prime is 14153849. The next prime is 14153861. The reversal of 14153860 is 6835141.

14153860 is nontrivially palindromic in base 12.

14153860 is a nontrivial binomial coefficient, being equal to C(5321, 2).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14153861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45064 + ... + 45376.

It is an arithmetic number, because the mean of its divisors is an integer number (395640).

Almost surely, 214153860 is an apocalyptic number.

14153860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14153860 is the 5320-th triangular number.

14153860 is the 1774-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14153860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18990720).

14153860 is an abundant number, since it is smaller than the sum of its proper divisors (23827580).

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

14153860 is a wasteful number, since it uses less digits than its factorization.

14153860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 14153860 is about 3762.1616126902. The cubic root of 14153860 is about 241.8939270577.

The spelling of 14153860 in words is "fourteen million, one hundred fifty-three thousand, eight hundred sixty".

Divisors: 1 2 4 5 7 10 14 17 19 20 28 34 35 38 68 70 76 85 95 119 133 140 170 190 238 266 313 323 340 380 476 532 595 626 646 665 1190 1252 1292 1330 1565 1615 2191 2261 2380 2660 3130 3230 4382 4522 5321 5947 6260 6460 8764 9044 10642 10955 11305 11894 21284 21910 22610 23788 26605 29735 37247 41629 43820 45220 53210 59470 74494 83258 101099 106420 118940 148988 166516 186235 202198 208145 372470 404396 416290 505495 707693 744940 832580 1010990 1415386 2021980 2830772 3538465 7076930 14153860