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13487040 = 263357223
BaseRepresentation
bin110011011100…
…101111000000
3221101012202000
4303130233000
511423041130
61201024000
7222431550
oct63345700
927335660
1013487040
117682016
124625000
132a42ac8
141b11160
1512b6260
hexcdcbc0

13487040 has 224 divisors, whose sum is σ = 54620160. Its totient is φ = 3068928.

The previous prime is 13487027. The next prime is 13487051. The reversal of 13487040 is 4078431.

13487040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13486995 and 13487013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60369 + ... + 60591.

It is an arithmetic number, because the mean of its divisors is an integer number (243840).

Almost surely, 213487040 is an apocalyptic number.

13487040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27310080).

13487040 is an abundant number, since it is smaller than the sum of its proper divisors (41133120).

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

13487040 is a wasteful number, since it uses less digits than its factorization.

13487040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 13487040 is about 3672.4705580848. The cubic root of 13487040 is about 238.0339381492.

The spelling of 13487040 in words is "thirteen million, four hundred eighty-seven thousand, forty".