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14370660 = 22325292753
BaseRepresentation
bin110110110100…
…011101100100
31000001002211200
4312310131210
512134330120
61232002500
7233101653
oct66643544
930032750
1014370660
118125987
124990430
132c92065
141ca119a
1513dce90
hexdb4764

14370660 has 72 divisors (see below), whose sum is σ = 45110520. Its totient is φ = 3698688.

The previous prime is 14370659. The next prime is 14370667. The reversal of 14370660 is 6607341.

It can be written as a sum of positive squares in 4 ways, for example, as 4485924 + 9884736 = 2118^2 + 3144^2 .

It is not an unprimeable number, because it can be changed into a prime (14370667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3844 + ... + 6596.

It is an arithmetic number, because the mean of its divisors is an integer number (626535).

Almost surely, 214370660 is an apocalyptic number.

14370660 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 14370660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22555260).

14370660 is an abundant number, since it is smaller than the sum of its proper divisors (30739860).

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

14370660 is a wasteful number, since it uses less digits than its factorization.

14370660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2797 (or 2792 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 14370660 is about 3790.8653365689. The cubic root of 14370660 is about 243.1227343207.

The spelling of 14370660 in words is "fourteen million, three hundred seventy thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 2753 5220 5506 8259 11012 13765 16518 24777 27530 33036 41295 49554 55060 79837 82590 99108 123885 159674 165180 239511 247770 319348 399185 479022 495540 718533 798370 958044 1197555 1437066 1596740 2395110 2874132 3592665 4790220 7185330 14370660