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10173216 = 253105971
BaseRepresentation
bin100110110011…
…101100100000
3201010212000210
4212303230200
510101020331
61002014120
7152320344
oct46635440
921125023
1010173216
115819319
1234a7340
132152671
1414cb624
15d5e446
hex9b3b20

10173216 has 24 divisors (see below), whose sum is σ = 26704944. Its totient is φ = 3391040.

The previous prime is 10173211. The next prime is 10173217. The reversal of 10173216 is 61237101.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 10173192 and 10173201.

It is not an unprimeable number, because it can be changed into a prime (10173211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52890 + ... + 53081.

It is an arithmetic number, because the mean of its divisors is an integer number (1112706).

Almost surely, 210173216 is an apocalyptic number.

10173216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10173216 is an abundant number, since it is smaller than the sum of its proper divisors (16531728).

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

10173216 is a wasteful number, since it uses less digits than its factorization.

10173216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105984 (or 105976 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 10173216 is about 3189.5479303500. The cubic root of 10173216 is about 216.6802968414.

The spelling of 10173216 in words is "ten million, one hundred seventy-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 105971 211942 317913 423884 635826 847768 1271652 1695536 2543304 3391072 5086608 10173216