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14492900 = 2252373917
BaseRepresentation
bin110111010010…
…010011100100
31000021022112002
4313102103210
512202233100
61234344432
7234121232
oct67222344
930238462
1014492900
1181a9804
124a2b118
1330058a6
141cd3952
1514142d5
hexdd24e4

14492900 has 36 divisors (see below), whose sum is σ = 32307828. Its totient is φ = 5639040.

The previous prime is 14492899. The next prime is 14492941. The reversal of 14492900 is 929441.

14492900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 906304 + 13586596 = 952^2 + 3686^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1742 + ... + 5658.

Almost surely, 214492900 is an apocalyptic number.

14492900 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 14492900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16153914).

14492900 is an abundant number, since it is smaller than the sum of its proper divisors (17814928).

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

14492900 is a wasteful number, since it uses less digits than its factorization.

14492900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3968 (or 3961 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 14492900 is about 3806.9541631073. The cubic root of 14492900 is about 243.8101407596.

The spelling of 14492900 in words is "fourteen million, four hundred ninety-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700 3917 7834 15668 19585 39170 78340 97925 144929 195850 289858 391700 579716 724645 1449290 2898580 3623225 7246450 14492900