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10134312 = 2331759421
BaseRepresentation
bin100110101010…
…001100101000
3201001212122220
4212222030220
510043244222
61001114040
7152066046
oct46521450
921055586
1010134312
1157a2071
123488920
13213aa46
1414bb396
15d52b5c
hex9aa328

10134312 has 64 divisors (see below), whose sum is σ = 27345600. Its totient is φ = 3118080.

The previous prime is 10134307. The next prime is 10134331. The reversal of 10134312 is 21343101.

It is a junction number, because it is equal to n+sod(n) for n = 10134291 and 10134300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23862 + ... + 24282.

It is an arithmetic number, because the mean of its divisors is an integer number (427275).

Almost surely, 210134312 is an apocalyptic number.

10134312 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 10134312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13672800).

10134312 is an abundant number, since it is smaller than the sum of its proper divisors (17211288).

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

10134312 is a wasteful number, since it uses less digits than its factorization.

10134312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 10134312 is about 3183.4434186899. The cubic root of 10134312 is about 216.4037373378.

Adding to 10134312 its reverse (21343101), we get a palindrome (31477413).

The spelling of 10134312 in words is "ten million, one hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 59 68 102 118 136 177 204 236 354 408 421 472 708 842 1003 1263 1416 1684 2006 2526 3009 3368 4012 5052 6018 7157 8024 10104 12036 14314 21471 24072 24839 28628 42942 49678 57256 74517 85884 99356 149034 171768 198712 298068 422263 596136 844526 1266789 1689052 2533578 3378104 5067156 10134312