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8020914 = 2311532293
BaseRepresentation
bin11110100110001110110010
3120002111121220
4132212032302
54023132124
6443525510
7125114406
oct36461662
916074556
108020914
114589260
122829896
13187ab05
1410cb106
15a86879
hex7a63b2

8020914 has 32 divisors (see below), whose sum is σ = 17838144. Its totient is φ = 2383680.

The previous prime is 8020913. The next prime is 8020921. The reversal of 8020914 is 4190208.

It is a super-2 number, since 2×80209142 = 128670122790792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8020913) 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 15 ways as a sum of consecutive naturals, for example, 2352 + ... + 4644.

It is an arithmetic number, because the mean of its divisors is an integer number (557442).

Almost surely, 28020914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8020914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8919072).

8020914 is an abundant number, since it is smaller than the sum of its proper divisors (9817230).

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

8020914 is a wasteful number, since it uses less digits than its factorization.

8020914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 8020914 is about 2832.1218194138. The cubic root of 8020914 is about 200.1741316801.

The spelling of 8020914 in words is "eight million, twenty thousand, nine hundred fourteen".

Divisors: 1 2 3 6 11 22 33 53 66 106 159 318 583 1166 1749 2293 3498 4586 6879 13758 25223 50446 75669 121529 151338 243058 364587 729174 1336819 2673638 4010457 8020914