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7084968 = 2331147571
BaseRepresentation
bin11011000001101110101000
3111022221202020
4123001232220
53303204333
6411504440
7114135612
oct33015650
914287666
107084968
113aaa050
122458120
131610ab7
14d25db2
1594e3b3
hex6c1ba8

7084968 has 64 divisors (see below), whose sum is σ = 19768320. Its totient is φ = 2097600.

The previous prime is 7084951. The next prime is 7084991. The reversal of 7084968 is 8694807.

It is a happy number.

It is a super-2 number, since 2×70849682 = 100393543122048, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 12123 + ... + 12693.

It is an arithmetic number, because the mean of its divisors is an integer number (308880).

Almost surely, 27084968 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 7084968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9884160).

7084968 is an abundant number, since it is smaller than the sum of its proper divisors (12683352).

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

7084968 is a wasteful number, since it uses less digits than its factorization.

7084968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 7084968 is about 2661.7603197884. The cubic root of 7084968 is about 192.0639977630.

The spelling of 7084968 in words is "seven million, eighty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 132 141 188 264 282 376 517 564 571 1034 1128 1142 1551 1713 2068 2284 3102 3426 4136 4568 6204 6281 6852 12408 12562 13704 18843 25124 26837 37686 50248 53674 75372 80511 107348 150744 161022 214696 295207 322044 590414 644088 885621 1180828 1771242 2361656 3542484 7084968