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13760145 = 335714561
BaseRepresentation
bin110100011111…
…011010010001
3221220002101000
4310133122101
512010311040
61210532213
7224650020
oct64373221
927802330
1013760145
117849223
124737069
132b0a1c9
141b828b7
15131c130
hexd1f691

13760145 has 32 divisors (see below), whose sum is σ = 27959040. Its totient is φ = 6289920.

The previous prime is 13760113. The next prime is 13760147. The reversal of 13760145 is 54106731.

13760145 is a `hidden beast` number, since 13 + 7 + 601 + 45 = 666.

It is not a de Polignac number, because 13760145 - 25 = 13760113 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (13760147) 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 31 ways as a sum of consecutive naturals, for example, 6336 + ... + 8225.

It is an arithmetic number, because the mean of its divisors is an integer number (873720).

Almost surely, 213760145 is an apocalyptic number.

13760145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13760145 is an abundant number, since it is smaller than the sum of its proper divisors (14198895).

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

13760145 is a wasteful number, since it uses less digits than its factorization.

13760145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14582 (or 14576 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 13760145 is about 3709.4669428369. The cubic root of 13760145 is about 239.6298983131.

Adding to 13760145 its reverse (54106731), we get a palindrome (67866876).

The spelling of 13760145 in words is "thirteen million, seven hundred sixty thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 14561 43683 72805 101927 131049 218415 305781 393147 509635 655245 917343 1528905 1965735 2752029 4586715 13760145