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14535450 = 234523797
BaseRepresentation
bin110111011100…
…101100011010
31000100110220000
4313130230122
512210113300
61235313430
7234356256
oct67345432
930313800
1014535450
118228776
124a4b876
13301c077
141d05266
151421c00
hexddcb1a

14535450 has 120 divisors (see below), whose sum is σ = 41906172. Its totient is φ = 3732480.

The previous prime is 14535439. The next prime is 14535457. The reversal of 14535450 is 5453541.

It can be written as a sum of positive squares in 6 ways, for example, as 8139609 + 6395841 = 2853^2 + 2529^2 .

It is a super-2 number, since 2×145354502 = 422558613405000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14535457) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 149802 + ... + 149898.

Almost surely, 214535450 is an apocalyptic number.

14535450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14535450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20953086).

14535450 is an abundant number, since it is smaller than the sum of its proper divisors (27370722).

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

14535450 is a wasteful number, since it uses less digits than its factorization.

14535450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 14535450 is about 3812.5385243955. The cubic root of 14535450 is about 244.0485100182.

Adding to 14535450 its reverse (5453541), we get a palindrome (19988991).

It can be divided in two parts, 1453 and 5450, that added together give a triangular number (6903 = T117).

The spelling of 14535450 in words is "fourteen million, five hundred thirty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 37 45 50 54 74 75 81 90 97 111 135 150 162 185 194 222 225 270 291 333 370 405 450 485 555 582 666 675 810 873 925 970 999 1110 1350 1455 1665 1746 1850 1998 2025 2425 2619 2775 2910 2997 3330 3589 4050 4365 4850 4995 5238 5550 5994 7178 7275 7857 8325 8730 9990 10767 13095 14550 14985 15714 16650 17945 21534 21825 24975 26190 29970 32301 35890 39285 43650 49950 53835 64602 65475 74925 78570 89725 96903 107670 130950 149850 161505 179450 193806 196425 269175 290709 323010 392850 484515 538350 581418 807525 969030 1453545 1615050 2422575 2907090 4845150 7267725 14535450