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10642212 = 2233722011
BaseRepresentation
bin101000100110…
…001100100100
3202000200101000
4220212030210
510211022322
61020033300
7156312600
oct50461444
922020330
1010642212
116009719
123692830
132287c89
1415b0500
15e033ac
hexa26324

10642212 has 72 divisors (see below), whose sum is σ = 32111520. Its totient is φ = 3039120.

The previous prime is 10642211. The next prime is 10642231. The reversal of 10642212 is 21224601.

10642212 is a `hidden beast` number, since 1 + 0 + 642 + 21 + 2 = 666.

It is a super-2 number, since 2×106422122 = 226513352505888, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10642211) 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, 4287 + ... + 6297.

Almost surely, 210642212 is an apocalyptic number.

10642212 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 10642212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16055760).

10642212 is an abundant number, since it is smaller than the sum of its proper divisors (21469308).

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

10642212 is a wasteful number, since it uses less digits than its factorization.

10642212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10642212 is about 3262.2403344941. The cubic root of 10642212 is about 219.9601305161.

Adding to 10642212 its reverse (21224601), we get a palindrome (31866813).

The spelling of 10642212 in words is "ten million, six hundred forty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2011 2646 4022 5292 6033 8044 12066 14077 18099 24132 28154 36198 42231 54297 56308 72396 84462 98539 108594 126693 168924 197078 217188 253386 295617 380079 394156 506772 591234 760158 886851 1182468 1520316 1773702 2660553 3547404 5321106 10642212