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10006212 = 2231077793
BaseRepresentation
bin100110001010…
…111011000100
3200211100221110
4212022323010
510030144322
6554245020
7151023426
oct46127304
920740843
1010006212
1157148a7
123426770
1320c4648
141486816
15d29c0c
hex98aec4

10006212 has 24 divisors (see below), whose sum is σ = 23569056. Its totient is φ = 3303808.

The previous prime is 10006207. The next prime is 10006261. The reversal of 10006212 is 21260001.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2613 + ... + 5180.

It is an arithmetic number, because the mean of its divisors is an integer number (982044).

Almost surely, 210006212 is an apocalyptic number.

10006212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10006212 is an abundant number, since it is smaller than the sum of its proper divisors (13562844).

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

10006212 is a wasteful number, since it uses less digits than its factorization.

10006212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7907 (or 7905 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10006212 is about 3163.2597111208. The cubic root of 10006212 is about 215.4880709299.

Adding to 10006212 its reverse (21260001), we get a palindrome (31266213).

The spelling of 10006212 in words is "ten million, six thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 107 214 321 428 642 1284 7793 15586 23379 31172 46758 93516 833851 1667702 2501553 3335404 5003106 10006212