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14585340 = 22357211241
BaseRepresentation
bin110111101000…
…110111111100
31000110000022210
4313220313330
512213212330
61240340420
7234654600
oct67506774
930400283
1014585340
118262200
124a74710
1330389a3
141d19500
1514318b0
hexde8dfc

14585340 has 216 divisors, whose sum is σ = 53491536. Its totient is φ = 2956800.

The previous prime is 14585339. The next prime is 14585353. The reversal of 14585340 is 4358541.

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

It is a junction number, because it is equal to n+sod(n) for n = 14585298 and 14585307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 355720 + ... + 355760.

It is an arithmetic number, because the mean of its divisors is an integer number (247646).

Almost surely, 214585340 is an apocalyptic number.

14585340 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 14585340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26745768).

14585340 is an abundant number, since it is smaller than the sum of its proper divisors (38906196).

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

14585340 is a wasteful number, since it uses less digits than its factorization.

14585340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 14585340 is about 3819.0758044323. The cubic root of 14585340 is about 244.3274069355.

The spelling of 14585340 in words is "fourteen million, five hundred eighty-five thousand, three hundred forty".