Search a number
-
+
9122080 = 255117173
BaseRepresentation
bin100010110011…
…000100100000
3122011110010211
4202303010200
54313401310
6523303504
7140351662
oct42630440
918143124
109122080
115170610
12307ab94
131b750a6
1412d6532
15c02c8a
hex8b3120

9122080 has 96 divisors (see below), whose sum is σ = 24167808. Its totient is φ = 3225600.

The previous prime is 9122077. The next prime is 9122083. The reversal of 9122080 is 802219.

It is an interprime number because it is at equal distance from previous prime (9122077) and next prime (9122083).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9122083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124924 + ... + 124996.

It is an arithmetic number, because the mean of its divisors is an integer number (251748).

Almost surely, 29122080 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 9122080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12083904).

9122080 is an abundant number, since it is smaller than the sum of its proper divisors (15045728).

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

9122080 is a wasteful number, since it uses less digits than its factorization.

9122080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 9122080 is about 3020.2781328878. The cubic root of 9122080 is about 208.9446676320.

Adding to 9122080 its reverse (802219), we get a palindrome (9924299).

It can be divided in two parts, 912 and 2080, that added together give a palindrome (2992).

The spelling of 9122080 in words is "nine million, one hundred twenty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 71 73 80 88 110 142 146 160 176 220 284 292 352 355 365 440 568 584 710 730 781 803 880 1136 1168 1420 1460 1562 1606 1760 2272 2336 2840 2920 3124 3212 3905 4015 5183 5680 5840 6248 6424 7810 8030 10366 11360 11680 12496 12848 15620 16060 20732 24992 25696 25915 31240 32120 41464 51830 57013 62480 64240 82928 103660 114026 124960 128480 165856 207320 228052 285065 414640 456104 570130 829280 912208 1140260 1824416 2280520 4561040 9122080