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2126124 = 22327111359
BaseRepresentation
bin1000000111000100101100
311000000111100
420013010230
51021013444
6113323100
724033420
oct10070454
94000440
102126124
111222430
12866490
13595980
143d4b80
152bee69
hex20712c

2126124 has 144 divisors (see below), whose sum is σ = 7338240. Its totient is φ = 501120.

The previous prime is 2126101. The next prime is 2126129. The reversal of 2126124 is 4216212.

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

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 2126097 and 2126106.

It is not an unprimeable number, because it can be changed into a prime (2126129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36007 + ... + 36065.

It is an arithmetic number, because the mean of its divisors is an integer number (50960).

22126124 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 2126124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3669120).

2126124 is an abundant number, since it is smaller than the sum of its proper divisors (5212116).

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

2126124 is a wasteful number, since it uses less digits than its factorization.

2126124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 95 counting only the distinct ones).

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

The square root of 2126124 is about 1458.1234515637. The cubic root of 2126124 is about 128.5867431493.

It can be divided in two parts, 212 and 6124, that added together give a palindrome (6336).

The spelling of 2126124 in words is "two million, one hundred twenty-six thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 11 12 13 14 18 21 22 26 28 33 36 39 42 44 52 59 63 66 77 78 84 91 99 117 118 126 132 143 154 156 177 182 198 231 234 236 252 273 286 308 354 364 396 413 429 462 468 531 546 572 649 693 708 767 819 826 858 924 1001 1062 1092 1239 1287 1298 1386 1534 1638 1652 1716 1947 2002 2124 2301 2478 2574 2596 2772 3003 3068 3276 3717 3894 4004 4543 4602 4956 5148 5369 5841 6006 6903 7434 7788 8437 9009 9086 9204 10738 11682 12012 13629 13806 14868 16107 16874 18018 18172 21476 23364 25311 27258 27612 32214 33748 36036 40887 48321 50622 54516 59059 64428 75933 81774 96642 101244 118118 151866 163548 177177 193284 236236 303732 354354 531531 708708 1063062 2126124