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8030106 = 2327101631
BaseRepresentation
bin11110101000011110011010
3120002222020100
4132220132122
54023430411
6444040230
7125153250
oct36503632
916088210
108030106
114595157
122833076
131882056
1410d05d0
15a89456
hex7a879a

8030106 has 48 divisors (see below), whose sum is σ = 20112768. Its totient is φ = 2268000.

The previous prime is 8030093. The next prime is 8030107. The reversal of 8030106 is 6010308.

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

It is not an unprimeable number, because it can be changed into a prime (8030107) 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, 12411 + ... + 13041.

It is an arithmetic number, because the mean of its divisors is an integer number (419016).

Almost surely, 28030106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8030106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10056384).

8030106 is an abundant number, since it is smaller than the sum of its proper divisors (12082662).

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

8030106 is a wasteful number, since it uses less digits than its factorization.

8030106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 8030106 is about 2833.7441662931. The cubic root of 8030106 is about 200.2505692774.

The spelling of 8030106 in words is "eight million, thirty thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 101 126 202 303 606 631 707 909 1262 1414 1818 1893 2121 3786 4242 4417 5679 6363 8834 11358 12726 13251 26502 39753 63731 79506 127462 191193 382386 446117 573579 892234 1147158 1338351 2676702 4015053 8030106