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13754149 = 2973289
BaseRepresentation
bin110100011101…
…111100100101
3221212210010221
4310131330211
512010113044
61210444341
7224623363
oct64357445
927783127
1013754149
117844772
1247336b1
132b07566
141b80633
15131a484
hexd1df25

13754149 has 12 divisors (see below), whose sum is σ = 14588100. Its totient is φ = 12950784.

The previous prime is 13754141. The next prime is 13754183. The reversal of 13754149 is 94145731.

13754149 = T577 + T578 + ... + T649.

It can be written as a sum of positive squares in 6 ways, for example, as 101124 + 13653025 = 318^2 + 3695^2 .

It is not a de Polignac number, because 13754149 - 23 = 13754141 is a prime.

It is a super-2 number, since 2×137541492 = 378353229428402, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13754141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154497 + ... + 154585.

It is an arithmetic number, because the mean of its divisors is an integer number (1215675).

Almost surely, 213754149 is an apocalyptic number.

It is an amenable number.

13754149 is a deficient number, since it is larger than the sum of its proper divisors (833951).

13754149 is an frugal number, since it uses more digits than its factorization.

13754149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 191 counting only the distinct ones).

The product of its digits is 15120, while the sum is 34.

The square root of 13754149 is about 3708.6586523971. The cubic root of 13754149 is about 239.5950869159.

The spelling of 13754149 in words is "thirteen million, seven hundred fifty-four thousand, one hundred forty-nine".

Divisors: 1 29 73 89 2117 2581 5329 6497 154541 188413 474281 13754149