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13175106 = 237292373
BaseRepresentation
bin110010010000…
…100101000010
3220210100211220
4302100211002
511333100411
61150215510
7216662250
oct62204502
926710756
1013175106
11748971a
1244b4596
132963b29
141a6d5d0
151253b06
hexc90942

13175106 has 48 divisors (see below), whose sum is σ = 31272384. Its totient is φ = 3624768.

The previous prime is 13175101. The next prime is 13175137. The reversal of 13175106 is 60157131.

It is a super-2 number, since 2×131751062 = 347166836222472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13175101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35136 + ... + 35508.

It is an arithmetic number, because the mean of its divisors is an integer number (651508).

Almost surely, 213175106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13175106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15636192).

13175106 is an abundant number, since it is smaller than the sum of its proper divisors (18097278).

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

13175106 is a wasteful number, since it uses less digits than its factorization.

13175106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 13175106 is about 3629.7528841507. The cubic root of 13175106 is about 236.1844889884.

The spelling of 13175106 in words is "thirteen million, one hundred seventy-five thousand, one hundred six".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 373 406 609 746 841 1119 1218 1682 2238 2523 2611 5046 5222 5887 7833 10817 11774 15666 17661 21634 32451 35322 64902 75719 151438 227157 313693 454314 627386 941079 1882158 2195851 4391702 6587553 13175106