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14486900 = 2252317457
BaseRepresentation
bin110111010000…
…110101110100
31000021000021212
4313100311310
512202040100
61234300552
7234064601
oct67206564
930230255
1014486900
1181a524a
124a27758
133002c3c
141cd16a8
151412635
hexdd0d74

14486900 has 36 divisors (see below), whose sum is σ = 31604748. Its totient is φ = 5763840.

The previous prime is 14486891. The next prime is 14486909. The reversal of 14486900 is 968441.

It is an interprime number because it is at equal distance from previous prime (14486891) and next prime (14486909).

It can be written as a sum of positive squares in 6 ways, for example, as 633616 + 13853284 = 796^2 + 3722^2 .

It is a super-2 number, since 2×144869002 = 419740543220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14486909) 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 11 ways as a sum of consecutive naturals, for example, 31472 + ... + 31928.

Almost surely, 214486900 is an apocalyptic number.

14486900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14486900 is an abundant number, since it is smaller than the sum of its proper divisors (17117848).

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

14486900 is a wasteful number, since it uses less digits than its factorization.

14486900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 14486900 is about 3806.1660499773. The cubic root of 14486900 is about 243.7764906559.

The spelling of 14486900 in words is "fourteen million, four hundred eighty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 317 457 634 914 1268 1585 1828 2285 3170 4570 6340 7925 9140 11425 15850 22850 31700 45700 144869 289738 579476 724345 1448690 2897380 3621725 7243450 14486900