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10173084 = 22323293141
BaseRepresentation
bin100110110011…
…101010011100
3201010211211220
4212303222130
510101014314
61002013340
7152320065
oct46635234
921124756
1010173084
115819209
1234a7250
13215259c
1414cb56c
15d5e3a9
hex9b3a9c

10173084 has 96 divisors (see below), whose sum is σ = 27095040. Its totient is φ = 2956800.

The previous prime is 10173077. The next prime is 10173091. The reversal of 10173084 is 48037101.

It is an interprime number because it is at equal distance from previous prime (10173077) and next prime (10173091).

It is a congruent number.

It is an unprimeable number.

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, 248104 + ... + 248144.

It is an arithmetic number, because the mean of its divisors is an integer number (282240).

Almost surely, 210173084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10173084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13547520).

10173084 is an abundant number, since it is smaller than the sum of its proper divisors (16921956).

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

10173084 is a wasteful number, since it uses less digits than its factorization.

10173084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 10173084 is about 3189.5272376953. The cubic root of 10173084 is about 216.6793596772.

The spelling of 10173084 in words is "ten million, one hundred seventy-three thousand, eighty-four".

Divisors: 1 2 3 4 6 12 23 29 31 41 46 58 62 69 82 87 92 93 116 123 124 138 164 174 186 246 276 348 372 492 667 713 899 943 1189 1271 1334 1426 1798 1886 2001 2139 2378 2542 2668 2697 2829 2852 3567 3596 3772 3813 4002 4278 4756 5084 5394 5658 7134 7626 8004 8556 10788 11316 14268 15252 20677 27347 29233 36859 41354 54694 58466 62031 73718 82041 82708 87699 109388 110577 116932 124062 147436 164082 175398 221154 248124 328164 350796 442308 847757 1695514 2543271 3391028 5086542 10173084