Search a number
-
+
4126122 = 23271113229
BaseRepresentation
bin1111101111010110101010
321202121222100
433233112222
52024013442
6224234230
750033340
oct17572652
97677870
104126122
112369020
12146b976
13b160c0
14795990
1556784c
hex3ef5aa

4126122 has 96 divisors (see below), whose sum is σ = 12055680. Its totient is φ = 984960.

The previous prime is 4126099. The next prime is 4126139. The reversal of 4126122 is 2216214.

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

It is a junction number, because it is equal to n+sod(n) for n = 4126095 and 4126104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17904 + ... + 18132.

It is an arithmetic number, because the mean of its divisors is an integer number (125580).

Almost surely, 24126122 is an apocalyptic number.

4126122 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4126122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6027840).

4126122 is an abundant number, since it is smaller than the sum of its proper divisors (7929558).

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

4126122 is a wasteful number, since it uses less digits than its factorization.

4126122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 265 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 4126122 is about 2031.2857996845. The cubic root of 4126122 is about 160.3912560039.

The spelling of 4126122 in words is "four million, one hundred twenty-six thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 126 143 154 182 198 229 231 234 273 286 429 458 462 546 687 693 819 858 1001 1287 1374 1386 1603 1638 2002 2061 2519 2574 2977 3003 3206 4122 4809 5038 5954 6006 7557 8931 9009 9618 14427 15114 17633 17862 18018 20839 22671 26793 28854 32747 35266 41678 45342 52899 53586 62517 65494 98241 105798 125034 158697 187551 196482 229229 294723 317394 375102 458458 589446 687687 1375374 2063061 4126122