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14590290 = 235111319179
BaseRepresentation
bin110111101010…
…000101010010
31000110021010010
4313222011102
512213342130
61240415350
7235005201
oct67520522
930407103
1014590290
1182659a0
124a77556
13303b010
141d1b238
1514330b0
hexdea152

14590290 has 128 divisors (see below), whose sum is σ = 43545600. Its totient is φ = 3075840.

The previous prime is 14590283. The next prime is 14590297. The reversal of 14590290 is 9209541.

It is a happy number.

14590290 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14590283) and next prime (14590297).

It is a super-3 number, since 3×145902903 (a number of 22 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (14590297) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81421 + ... + 81599.

It is an arithmetic number, because the mean of its divisors is an integer number (340200).

Almost surely, 214590290 is an apocalyptic number.

14590290 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 14590290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772800).

14590290 is an abundant number, since it is smaller than the sum of its proper divisors (28955310).

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

14590290 is a wasteful number, since it uses less digits than its factorization.

14590290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232.

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 14590290 is about 3819.7238120053. The cubic root of 14590290 is about 244.3550439069.

The spelling of 14590290 in words is "fourteen million, five hundred ninety thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 11 13 15 19 22 26 30 33 38 39 55 57 65 66 78 95 110 114 130 143 165 179 190 195 209 247 285 286 330 358 390 418 429 494 537 570 627 715 741 858 895 1045 1074 1235 1254 1430 1482 1790 1969 2090 2145 2327 2470 2685 2717 3135 3401 3705 3938 4290 4654 5370 5434 5907 6270 6802 6981 7410 8151 9845 10203 11635 11814 13585 13962 16302 17005 19690 20406 23270 25597 27170 29535 34010 34905 37411 40755 44213 51015 51194 59070 69810 74822 76791 81510 88426 102030 112233 127985 132639 153582 187055 221065 224466 255970 265278 374110 383955 442130 486343 561165 663195 767910 972686 1122330 1326390 1459029 2431715 2918058 4863430 7295145 14590290