Search a number
-
+
14356740 = 22352937223
BaseRepresentation
bin110110110001…
…000100000100
31000000101202010
4312301010010
512133403430
61231414220
7233013246
oct66610404
930011663
1014356740
118116482
124984370
132c88918
141c9a096
1513d8cb0
hexdb1104

14356740 has 96 divisors (see below), whose sum is σ = 42900480. Its totient is φ = 3580416.

The previous prime is 14356709. The next prime is 14356747. The reversal of 14356740 is 4765341.

It is a super-2 number, since 2×143567402 = 412231966855200, which contains 22 as substring.

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 = 14356698 and 14356707.

It is not an unprimeable number, because it can be changed into a prime (14356747) 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, 64269 + ... + 64491.

It is an arithmetic number, because the mean of its divisors is an integer number (446880).

Almost surely, 214356740 is an apocalyptic number.

14356740 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 14356740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21450240).

14356740 is an abundant number, since it is smaller than the sum of its proper divisors (28543740).

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

14356740 is a wasteful number, since it uses less digits than its factorization.

14356740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 14356740 is about 3789.0288993356. The cubic root of 14356740 is about 243.0442094707.

The spelling of 14356740 in words is "fourteen million, three hundred fifty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 37 58 60 74 87 111 116 145 148 174 185 222 223 290 348 370 435 444 446 555 580 669 740 870 892 1073 1110 1115 1338 1740 2146 2220 2230 2676 3219 3345 4292 4460 5365 6438 6467 6690 8251 10730 12876 12934 13380 16095 16502 19401 21460 24753 25868 32190 32335 33004 38802 41255 49506 64380 64670 77604 82510 97005 99012 123765 129340 165020 194010 239279 247530 388020 478558 495060 717837 957116 1196395 1435674 2392790 2871348 3589185 4785580 7178370 14356740