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14256090 = 2325237197
BaseRepresentation
bin110110011000…
…011111011010
3222211021200100
4312120133122
512122143330
61225320230
7232113642
oct66303732
928737610
1014256090
1180578a2
124936076
132c51b74
141c71522
1513b9060
hexd987da

14256090 has 96 divisors (see below), whose sum is σ = 39626496. Its totient is φ = 3548160.

The previous prime is 14256089. The next prime is 14256107. The reversal of 14256090 is 9065241.

14256090 is a `hidden beast` number, since 14 + 2 + 560 + 90 = 666.

It is a super-2 number, since 2×142560902 = 406472204176200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146922 + ... + 147018.

It is an arithmetic number, because the mean of its divisors is an integer number (412776).

Almost surely, 214256090 is an apocalyptic number.

14256090 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 14256090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19813248).

14256090 is an abundant number, since it is smaller than the sum of its proper divisors (25370406).

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

14256090 is a wasteful number, since it uses less digits than its factorization.

14256090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 14256090 is about 3775.7237716761. The cubic root of 14256090 is about 242.4749114938.

The spelling of 14256090 in words is "fourteen million, two hundred fifty-six thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 71 90 97 115 138 142 194 207 213 230 291 345 355 414 426 485 582 639 690 710 873 970 1035 1065 1278 1455 1633 1746 2070 2130 2231 2910 3195 3266 4365 4462 4899 6390 6693 6887 8165 8730 9798 11155 13386 13774 14697 16330 20079 20661 22310 24495 29394 33465 34435 40158 41322 48990 61983 66930 68870 73485 100395 103305 123966 146970 158401 200790 206610 309915 316802 475203 619830 792005 950406 1425609 1584010 2376015 2851218 4752030 7128045 14256090