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2124672 = 27311503
BaseRepresentation
bin1000000110101110000000
310222221111120
420012232000
51020442142
6113312240
724026244
oct10065600
93887446
102124672
111221330
12865680
13595104
143d4424
152be7ec
hex206b80

2124672 has 64 divisors (see below), whose sum is σ = 6168960. Its totient is φ = 642560.

The previous prime is 2124667. The next prime is 2124679. The reversal of 2124672 is 2764212.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×21246722 = 9028462215168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 211 + 1 + 213 + 44 + 63 + 75 + 221 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3973 + ... + 4475.

It is an arithmetic number, because the mean of its divisors is an integer number (96390).

22124672 is an apocalyptic number.

2124672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084480).

2124672 is an abundant number, since it is smaller than the sum of its proper divisors (4044288).

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

2124672 is a wasteful number, since it uses less digits than its factorization.

2124672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 519 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 2124672 is about 1457.6254662978. The cubic root of 2124672 is about 128.5574644446.

Adding to 2124672 its reverse (2764212), we get a palindrome (4888884).

It can be divided in two parts, 212 and 4672, that added together give a palindrome (4884).

The spelling of 2124672 in words is "two million, one hundred twenty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 503 528 704 1006 1056 1408 1509 2012 2112 3018 4024 4224 5533 6036 8048 11066 12072 16096 16599 22132 24144 32192 33198 44264 48288 64384 66396 88528 96576 132792 177056 193152 265584 354112 531168 708224 1062336 2124672