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8061416 = 2311101907
BaseRepresentation
bin11110110000000111101000
3120011120011222
4132300013220
54030431131
6444441212
7125343446
oct36600750
916146158
108061416
114606730
122849208
13189338c
1410dbb96
15a9387b
hex7b01e8

8061416 has 32 divisors (see below), whose sum is σ = 16670880. Its totient is φ = 3624000.

The previous prime is 8061413. The next prime is 8061419. The reversal of 8061416 is 6141608.

It is an interprime number because it is at equal distance from previous prime (8061413) and next prime (8061419).

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (8061413) by changing a digit.

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, 8435 + ... + 9341.

It is an arithmetic number, because the mean of its divisors is an integer number (520965).

Almost surely, 28061416 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 8061416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8335440).

8061416 is an abundant number, since it is smaller than the sum of its proper divisors (8609464).

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

8061416 is a wasteful number, since it uses less digits than its factorization.

8061416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 8061416 is about 2839.2632847272. The cubic root of 8061416 is about 200.5104958612.

It can be divided in two parts, 806 and 1416, that added together give a palindrome (2222).

The spelling of 8061416 in words is "eight million, sixty-one thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 22 44 88 101 202 404 808 907 1111 1814 2222 3628 4444 7256 8888 9977 19954 39908 79816 91607 183214 366428 732856 1007677 2015354 4030708 8061416