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10027212 = 223131719199
BaseRepresentation
bin100110010000…
…000011001100
3200212102202020
4212100003030
510031332322
6554530140
7151141566
oct46200314
920772666
1010027212
115729658
123436950
132101080
141490336
15d3105c
hex9900cc

10027212 has 96 divisors (see below), whose sum is σ = 28224000. Its totient is φ = 2737152.

The previous prime is 10027189. The next prime is 10027217. The reversal of 10027212 is 21272001.

It is a zygodrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 10027191 and 10027200.

It is not an unprimeable number, because it can be changed into a prime (10027217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50289 + ... + 50487.

It is an arithmetic number, because the mean of its divisors is an integer number (294000).

Almost surely, 210027212 is an apocalyptic number.

10027212 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 10027212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14112000).

10027212 is an abundant number, since it is smaller than the sum of its proper divisors (18196788).

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

10027212 is a wasteful number, since it uses less digits than its factorization.

10027212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 10027212 is about 3166.5773320732. The cubic root of 10027212 is about 215.6387135996.

Adding to 10027212 its reverse (21272001), we get a palindrome (31299213).

The spelling of 10027212 in words is "ten million, twenty-seven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 17 19 26 34 38 39 51 52 57 68 76 78 102 114 156 199 204 221 228 247 323 398 442 494 597 646 663 741 796 884 969 988 1194 1292 1326 1482 1938 2388 2587 2652 2964 3383 3781 3876 4199 5174 6766 7562 7761 8398 10149 10348 11343 12597 13532 15124 15522 16796 20298 22686 25194 31044 40596 43979 45372 49153 50388 64277 87958 98306 128554 131937 147459 175916 192831 196612 257108 263874 294918 385662 527748 589836 771324 835601 1671202 2506803 3342404 5013606 10027212