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10172712 = 23311231113
BaseRepresentation
bin100110110011…
…100100101000
3201010211100010
4212303210220
510101011322
61002011520
7152316024
oct46634450
921124303
1010172712
115818a00
1234a6ba0
132152374
1414cb384
15d5e20c
hex9b3928

10172712 has 96 divisors (see below), whose sum is σ = 29111040. Its totient is φ = 2956800.

The previous prime is 10172699. The next prime is 10172717. The reversal of 10172712 is 21727101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10172717) 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 23 ways as a sum of consecutive naturals, for example, 89968 + ... + 90080.

It is an arithmetic number, because the mean of its divisors is an integer number (303240).

Almost surely, 210172712 is an apocalyptic number.

10172712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10172712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14555520).

10172712 is an abundant number, since it is smaller than the sum of its proper divisors (18938328).

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

10172712 is a wasteful number, since it uses less digits than its factorization.

10172712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 21.

The square root of 10172712 is about 3189.4689213096. The cubic root of 10172712 is about 216.6767185343.

Adding to 10172712 its reverse (21727101), we get a palindrome (31899813).

The spelling of 10172712 in words is "ten million, one hundred seventy-two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 113 121 124 132 186 226 242 248 264 339 341 363 372 452 484 678 682 726 744 904 968 1023 1243 1356 1364 1452 2046 2486 2712 2728 2904 3503 3729 3751 4092 4972 7006 7458 7502 8184 9944 10509 11253 13673 14012 14916 15004 21018 22506 27346 28024 29832 30008 38533 41019 42036 45012 54692 77066 82038 84072 90024 109384 115599 154132 164076 231198 308264 328152 423863 462396 847726 924792 1271589 1695452 2543178 3390904 5086356 10172712