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8140212 = 22321747283
BaseRepresentation
bin11111000011010110110100
3120022120021100
4133003112310
54040441322
6450250100
7126122253
oct37032664
916276240
108140212
11465a953
122886930
1318c01c2
14111c79a
15aabdac
hex7c35b4

8140212 has 72 divisors (see below), whose sum is σ = 22329216. Its totient is φ = 2490624.

The previous prime is 8140211. The next prime is 8140247. The reversal of 8140212 is 2120418.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8140211) by changing a digit.

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, 28623 + ... + 28905.

It is an arithmetic number, because the mean of its divisors is an integer number (310128).

Almost surely, 28140212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8140212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11164608).

8140212 is an abundant number, since it is smaller than the sum of its proper divisors (14189004).

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

8140212 is a wasteful number, since it uses less digits than its factorization.

8140212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 8140212 is about 2853.1056762763. The cubic root of 8140212 is about 201.1616728505.

The spelling of 8140212 in words is "eight million, one hundred forty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 47 51 68 94 102 141 153 188 204 282 283 306 423 564 566 612 799 846 849 1132 1598 1692 1698 2397 2547 3196 3396 4794 4811 5094 7191 9588 9622 10188 13301 14382 14433 19244 26602 28764 28866 39903 43299 53204 57732 79806 86598 119709 159612 173196 226117 239418 452234 478836 678351 904468 1356702 2035053 2713404 4070106 8140212