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14506974 = 2322367523
BaseRepresentation
bin110111010101…
…101111011110
31000022000211100
4313111233132
512203210344
61234533530
7234210246
oct67255736
930260740
1014506974
118209339
124a372a6
13300c111
141cd8b26
151418569
hexdd5bde

14506974 has 48 divisors (see below), whose sum is σ = 33351552. Its totient is φ = 4547664.

The previous prime is 14506963. The next prime is 14506991. The reversal of 14506974 is 47960541.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27477 + ... + 27999.

It is an arithmetic number, because the mean of its divisors is an integer number (694824).

Almost surely, 214506974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14506974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16675776).

14506974 is an abundant number, since it is smaller than the sum of its proper divisors (18844578).

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

14506974 is a wasteful number, since it uses less digits than its factorization.

14506974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 14506974 is about 3808.8021739124. The cubic root of 14506974 is about 243.8890362598.

The spelling of 14506974 in words is "fourteen million, five hundred six thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 18 23 46 67 69 134 138 201 207 402 414 523 603 1046 1206 1541 1569 3082 3138 4623 4707 9246 9414 12029 13869 24058 27738 35041 36087 70082 72174 105123 108261 210246 216522 315369 630738 805943 1611886 2417829 4835658 7253487 14506974