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14136480 = 253259817
BaseRepresentation
bin110101111011…
…010010100000
3222121012121100
4311323102200
512104331410
61222554400
7231105141
oct65732240
928535540
1014136480
117a85a46
124898a00
132c0c5a7
141c3dac8
1513938c0
hexd7b4a0

14136480 has 72 divisors (see below), whose sum is σ = 48245652. Its totient is φ = 3769344.

The previous prime is 14136461. The next prime is 14136481. The reversal of 14136480 is 8463141.

14136480 is a `hidden beast` number, since 1 + 4 + 13 + 648 + 0 = 666.

14136480 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 13046544 + 1089936 = 3612^2 + 1044^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (14136481) 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, 3469 + ... + 6348.

Almost surely, 214136480 is an apocalyptic number.

14136480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14136480 is an abundant number, since it is smaller than the sum of its proper divisors (34109172).

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

14136480 is a wasteful number, since it uses less digits than its factorization.

14136480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9838 (or 9827 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 14136480 is about 3759.8510608799. The cubic root of 14136480 is about 241.7948766122.

The spelling of 14136480 in words is "fourteen million, one hundred thirty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 9817 19634 29451 39268 49085 58902 78536 88353 98170 117804 147255 157072 176706 196340 235608 294510 314144 353412 392680 441765 471216 589020 706824 785360 883530 942432 1178040 1413648 1570720 1767060 2356080 2827296 3534120 4712160 7068240 14136480