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10001712 = 2437172103
BaseRepresentation
bin100110001001…
…110100110000
3200211010202210
4212021310300
510030023322
6554212120
7151004340
oct46116460
920733683
1010001712
115711486
123424040
1320c2596
141484d20
15d2870c
hex989d30

10001712 has 120 divisors (see below), whose sum is σ = 31672576. Its totient is φ = 2663424.

The previous prime is 10001707. The next prime is 10001713. The reversal of 10001712 is 21710001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10001713) 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, 97053 + ... + 97155.

Almost surely, 210001712 is an apocalyptic number.

10001712 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 10001712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15836288).

10001712 is an abundant number, since it is smaller than the sum of its proper divisors (21670864).

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

10001712 is a wasteful number, since it uses less digits than its factorization.

10001712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 12.

The square root of 10001712 is about 3162.5483395515. The cubic root of 10001712 is about 215.4557629423.

Adding to 10001712 its reverse (21710001), we get a palindrome (31711713).

The spelling of 10001712 in words is "ten million, one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 103 112 119 136 168 204 206 238 272 289 309 336 357 408 412 476 578 618 714 721 816 824 867 952 1156 1236 1428 1442 1648 1734 1751 1904 2023 2163 2312 2472 2856 2884 3468 3502 4046 4326 4624 4944 5253 5712 5768 6069 6936 7004 8092 8652 10506 11536 12138 12257 13872 14008 16184 17304 21012 24276 24514 28016 29767 32368 34608 36771 42024 48552 49028 59534 73542 84048 89301 97104 98056 119068 147084 178602 196112 208369 238136 294168 357204 416738 476272 588336 625107 714408 833476 1250214 1428816 1666952 2500428 3333904 5000856 10001712