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14669460 = 22325136269
BaseRepresentation
bin110111111101…
…011010010100
31000121021201100
4313331122110
512223410320
61242230100
7235455051
oct67753224
930537640
1014669460
11830a423
124ab5330
133068070
141d3c028
15144b790
hexdfd694

14669460 has 72 divisors (see below), whose sum is σ = 47927880. Its totient is φ = 3610368.

The previous prime is 14669443. The next prime is 14669467. The reversal of 14669460 is 6496641.

It can be written as a sum of positive squares in 4 ways, for example, as 15876 + 14653584 = 126^2 + 3828^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14669467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 795 + ... + 5474.

It is an arithmetic number, because the mean of its divisors is an integer number (665665).

Almost surely, 214669460 is an apocalyptic number.

14669460 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 14669460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23963940).

14669460 is an abundant number, since it is smaller than the sum of its proper divisors (33258420).

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

14669460 is a wasteful number, since it uses less digits than its factorization.

14669460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6297 (or 6292 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 14669460 is about 3830.0731063519. The cubic root of 14669460 is about 244.7962209464.

It can be divided in two parts, 14669 and 460, that added together give a square (15129 = 1232).

The spelling of 14669460 in words is "fourteen million, six hundred sixty-nine thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 6269 12538 18807 25076 31345 37614 56421 62690 75228 81497 94035 112842 125380 162994 188070 225684 244491 282105 325988 376140 407485 488982 564210 733473 814970 977964 1128420 1222455 1466946 1629940 2444910 2933892 3667365 4889820 7334730 14669460