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14364100 = 22523792
BaseRepresentation
bin110110110010…
…110111000100
31000000202211201
4312302313010
512134122400
61231512244
7233043562
oct66626704
930022751
1014364100
118120a63
124988684
132c8c08a
141c9ca32
1513db06a
hexdb2dc4

14364100 has 27 divisors (see below), whose sum is σ = 31252557. Its totient is φ = 5730480.

The previous prime is 14364089. The next prime is 14364101. The reversal of 14364100 is 146341.

It is a happy number.

The square root of 14364100 is 3790.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5171076 + 9193024 = 2274^2 + 3032^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14364101) 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 8 ways as a sum of consecutive naturals, for example, 37711 + ... + 38089.

Almost surely, 214364100 is an apocalyptic number.

14364100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14364100 is the 3790-th square number.

It is an amenable number.

14364100 is an abundant number, since it is smaller than the sum of its proper divisors (16888457).

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

14364100 is an equidigital number, since it uses as much as digits as its factorization.

14364100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The cubic root of 14364100 is about 243.0857346774.

The spelling of 14364100 in words is "fourteen million, three hundred sixty-four thousand, one hundred".