Search a number
-
+
14093940 = 22357231459
BaseRepresentation
bin110101110000…
…111001110100
3222112001020210
4311300321310
512102001230
61222025420
7230540130
oct65607164
928461223
1014093940
117a56a93
124878270
132bc6113
141c2c3c0
151385eb0
hexd70e74

14093940 has 96 divisors (see below), whose sum is σ = 47093760. Its totient is φ = 3079296.

The previous prime is 14093909. The next prime is 14093957. The reversal of 14093940 is 4939041.

14093940 = 1512 + 1522 + ... + 3572.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14093898 and 14093907.

It is a congruent number.

It is an unprimeable number.

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, 8931 + ... + 10389.

It is an arithmetic number, because the mean of its divisors is an integer number (490560).

Almost surely, 214093940 is an apocalyptic number.

14093940 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 14093940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23546880).

14093940 is an abundant number, since it is smaller than the sum of its proper divisors (32999820).

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

14093940 is a wasteful number, since it uses less digits than its factorization.

14093940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 14093940 is about 3754.1896595670. The cubic root of 14093940 is about 241.5520936621.

The spelling of 14093940 in words is "fourteen million, ninety-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 84 92 105 115 138 140 161 210 230 276 322 345 420 460 483 644 690 805 966 1380 1459 1610 1932 2415 2918 3220 4377 4830 5836 7295 8754 9660 10213 14590 17508 20426 21885 29180 30639 33557 40852 43770 51065 61278 67114 87540 100671 102130 122556 134228 153195 167785 201342 204260 234899 306390 335570 402684 469798 503355 612780 671140 704697 939596 1006710 1174495 1409394 2013420 2348990 2818788 3523485 4697980 7046970 14093940