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13971280 = 2451710273
BaseRepresentation
bin110101010010…
…111101010000
3222021210222211
4311102331100
512034040110
61215241504
7226516411
oct65227520
928253884
1013971280
117982914
124819294
132b8233b
141bd9808
15135e98a
hexd52f50

13971280 has 40 divisors (see below), whose sum is σ = 34397352. Its totient is φ = 5259264.

The previous prime is 13971271. The next prime is 13971299. The reversal of 13971280 is 8217931.

13971280 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 4 ways, for example, as 1411344 + 12559936 = 1188^2 + 3544^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3777 + ... + 6496.

Almost surely, 213971280 is an apocalyptic number.

13971280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13971280 is an abundant number, since it is smaller than the sum of its proper divisors (20426072).

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

13971280 is a wasteful number, since it uses less digits than its factorization.

13971280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10303 (or 10297 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 13971280 is about 3737.8175450388. The cubic root of 13971280 is about 240.8493057684.

The spelling of 13971280 in words is "thirteen million, nine hundred seventy-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 10273 20546 41092 51365 82184 102730 164368 174641 205460 349282 410920 698564 821840 873205 1397128 1746410 2794256 3492820 6985640 13971280