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10712412 = 2235103107
BaseRepresentation
bin101000110111…
…010101011100
3202011020200000
4220313111130
510220244122
61021334300
7160024344
oct50672534
922136600
1010712412
116057437
123707390
1322b0c09
1415cbd24
15e190ac
hexa3755c

10712412 has 72 divisors (see below), whose sum is σ = 28619136. Its totient is φ = 3503088.

The previous prime is 10712353. The next prime is 10712423. The reversal of 10712412 is 21421701.

It is a super-2 number, since 2×107124122 = 229511541715488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 100063 + ... + 100169.

It is an arithmetic number, because the mean of its divisors is an integer number (397488).

Almost surely, 210712412 is an apocalyptic number.

10712412 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 10712412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14309568).

10712412 is an abundant number, since it is smaller than the sum of its proper divisors (17906724).

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

10712412 is a wasteful number, since it uses less digits than its factorization.

10712412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 10712412 is about 3272.9821264407. The cubic root of 10712412 is about 220.4427173150.

The spelling of 10712412 in words is "ten million, seven hundred twelve thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 103 107 108 162 206 214 243 309 321 324 412 428 486 618 642 927 963 972 1236 1284 1854 1926 2781 2889 3708 3852 5562 5778 8343 8667 11021 11124 11556 16686 17334 22042 25029 26001 33063 33372 34668 44084 50058 52002 66126 99189 100116 104004 132252 198378 297567 396756 595134 892701 1190268 1785402 2678103 3570804 5356206 10712412