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13410075 = 352724189
BaseRepresentation
bin110011001001…
…111100011011
3221020022011110
4303021330123
511413110300
61155231403
7221661300
oct63117433
927208143
1013410075
11762a208
1245a8563
132a16a73
141ad10a7
15129d550
hexcc9f1b

13410075 has 72 divisors (see below), whose sum is σ = 26717040. Its totient is φ = 5913600.

The previous prime is 13410071. The next prime is 13410079. The reversal of 13410075 is 57001431.

13410075 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13410071) and next prime (13410079).

It is not a de Polignac number, because 13410075 - 22 = 13410071 is a prime.

It is a super-2 number, since 2×134100752 = 359660223011250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (13410071) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 150631 + ... + 150719.

It is an arithmetic number, because the mean of its divisors is an integer number (371070).

Almost surely, 213410075 is an apocalyptic number.

13410075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13410075 is a deficient number, since it is larger than the sum of its proper divisors (13306965).

13410075 is a wasteful number, since it uses less digits than its factorization.

13410075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 13410075 is about 3661.9769251048. The cubic root of 13410075 is about 237.5802867988.

The spelling of 13410075 in words is "thirteen million, four hundred ten thousand, seventy-five".

Divisors: 1 3 5 7 15 21 25 35 41 49 75 89 105 123 147 175 205 245 267 287 445 525 615 623 735 861 1025 1225 1335 1435 1869 2009 2225 3075 3115 3649 3675 4305 4361 6027 6675 7175 9345 10045 10947 13083 15575 18245 21525 21805 25543 30135 46725 50225 54735 65415 76629 91225 109025 127715 150675 178801 273675 327075 383145 536403 638575 894005 1915725 2682015 4470025 13410075