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2124468 = 22347983
BaseRepresentation
bin1000000110101010110100
310222221020000
420012222310
51020440333
6113311300
724025533
oct10065264
93887200
102124468
111221165
12865530
13594ca8
143d431a
152be713
hex206ab4

2124468 has 60 divisors (see below), whose sum is σ = 5691840. Its totient is φ = 690768.

The previous prime is 2124467. The next prime is 2124469. The reversal of 2124468 is 8644212.

2124468 is a `hidden beast` number, since 212 + 446 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2124467) and next prime (2124469).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124467) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25555 + ... + 25637.

It is an arithmetic number, because the mean of its divisors is an integer number (94864).

22124468 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 2124468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845920).

2124468 is an abundant number, since it is smaller than the sum of its proper divisors (3567372).

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

2124468 is a wasteful number, since it uses less digits than its factorization.

2124468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 167 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 2124468 is about 1457.5554877945. Note that the first 3 decimals coincide. The cubic root of 2124468 is about 128.5533498390.

It can be divided in two parts, 21244 and 68, that added together give a palindrome (21312).

The spelling of 2124468 in words is "two million, one hundred twenty-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 81 83 108 158 162 166 237 249 316 324 332 474 498 711 747 948 996 1422 1494 2133 2241 2844 2988 4266 4482 6399 6557 6723 8532 8964 12798 13114 13446 19671 25596 26228 26892 39342 59013 78684 118026 177039 236052 354078 531117 708156 1062234 2124468