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14268150 = 2345213271
BaseRepresentation
bin110110011011…
…011011110110
3222211220020000
4312123123312
512123040100
61225452130
7232164051
oct66333366
928756200
1014268150
118065966
124941046
132c574c0
141c75a98
1513bc900
hexd9b6f6

14268150 has 120 divisors (see below), whose sum is σ = 42851424. Its totient is φ = 3499200.

The previous prime is 14268143. The next prime is 14268157. The reversal of 14268150 is 5186241.

14268150 is nontrivially palindromic in base 8.

It is an interprime number because it is at equal distance from previous prime (14268143) and next prime (14268157).

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

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14268157) 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, 52515 + ... + 52785.

Almost surely, 214268150 is an apocalyptic number.

14268150 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 14268150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21425712).

14268150 is an abundant number, since it is smaller than the sum of its proper divisors (28583274).

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

14268150 is a wasteful number, since it uses less digits than its factorization.

14268150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 14268150 is about 3777.3204788580. The cubic root of 14268150 is about 242.5432664501.

The spelling of 14268150 in words is "fourteen million, two hundred sixty-eight thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 27 30 39 45 50 54 65 75 78 81 90 117 130 135 150 162 195 225 234 270 271 325 351 390 405 450 542 585 650 675 702 810 813 975 1053 1170 1350 1355 1626 1755 1950 2025 2106 2439 2710 2925 3510 3523 4050 4065 4878 5265 5850 6775 7046 7317 8130 8775 10530 10569 12195 13550 14634 17550 17615 20325 21138 21951 24390 26325 31707 35230 36585 40650 43902 52650 52845 60975 63414 73170 88075 95121 105690 109755 121950 158535 176150 182925 190242 219510 264225 285363 317070 365850 475605 528450 548775 570726 792675 951210 1097550 1426815 1585350 2378025 2853630 4756050 7134075 14268150