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8021214 = 233891669
BaseRepresentation
bin11110100110010011011110
3120002112001000
4132212103132
54023134324
6443531130
7125115315
oct36462336
916075030
108021214
114589503
122829aa6
13187aca6
1410cb27c
15a869c9
hex7a64de

8021214 has 32 divisors (see below), whose sum is σ = 18036000. Its totient is φ = 2642112.

The previous prime is 8021191. The next prime is 8021231. The reversal of 8021214 is 4121208.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3972 + ... + 5640.

It is an arithmetic number, because the mean of its divisors is an integer number (563625).

Almost surely, 28021214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8021214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9018000).

8021214 is an abundant number, since it is smaller than the sum of its proper divisors (10014786).

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

8021214 is a wasteful number, since it uses less digits than its factorization.

8021214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1763 counting only the distinct ones).

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

The square root of 8021214 is about 2832.1747827421. The cubic root of 8021214 is about 200.1766273014.

It can be divided in two parts, 802 and 1214, that added together give a triangular number (2016 = T63).

The spelling of 8021214 in words is "eight million, twenty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 89 178 267 534 801 1602 1669 2403 3338 4806 5007 10014 15021 30042 45063 90126 148541 297082 445623 891246 1336869 2673738 4010607 8021214