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14734900 = 2252295081
BaseRepresentation
bin111000001101…
…011000110100
31000201121111001
4320031120310
512233004100
61243453044
7236146615
oct70153064
930647431
1014734900
118354604
124b27184
13308ba9b
141d57c0c
151460d6a
hexe0d634

14734900 has 36 divisors (see below), whose sum is σ = 33083820. Its totient is φ = 5689600.

The previous prime is 14734897. The next prime is 14734919. The reversal of 14734900 is 943741.

It can be written as a sum of positive squares in 6 ways, for example, as 1572516 + 13162384 = 1254^2 + 3628^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 360 + ... + 5440.

It is an arithmetic number, because the mean of its divisors is an integer number (918995).

Almost surely, 214734900 is an apocalyptic number.

14734900 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 14734900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16541910).

14734900 is an abundant number, since it is smaller than the sum of its proper divisors (18348920).

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

14734900 is a wasteful number, since it uses less digits than its factorization.

14734900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5124 (or 5117 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 14734900 is about 3838.6065179958. The cubic root of 14734900 is about 245.1596904216.

The spelling of 14734900 in words is "fourteen million, seven hundred thirty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 5081 10162 20324 25405 50810 101620 127025 147349 254050 294698 508100 589396 736745 1473490 2946980 3683725 7367450 14734900