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2130624 = 2635137
BaseRepresentation
bin1000001000001011000000
311000020200000
420020023000
51021134444
6113400000
724052506
oct10101300
94006600
102130624
111225851
12869000
13597a32
143d6676
152c1469
hex2082c0

2130624 has 84 divisors (see below), whose sum is σ = 6379464. Its totient is φ = 705024.

The previous prime is 2130619. The next prime is 2130631. The reversal of 2130624 is 4260312.

It is a happy number.

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 = 2130597 and 2130606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15484 + ... + 15620.

It is an arithmetic number, because the mean of its divisors is an integer number (75946).

22130624 is an apocalyptic number.

2130624 is a gapful number since it is divisible by the number (24) 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 2130624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3189732).

2130624 is an abundant number, since it is smaller than the sum of its proper divisors (4248840).

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

2130624 is an equidigital number, since it uses as much as digits as its factorization.

2130624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2130624 is about 1459.6657151554. The cubic root of 2130624 is about 128.6773983490.

Adding to 2130624 its reverse (4260312), we get a palindrome (6390936).

The spelling of 2130624 in words is "two million, one hundred thirty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 137 144 162 192 216 243 274 288 324 411 432 486 548 576 648 822 864 972 1096 1233 1296 1644 1728 1944 2192 2466 2592 3288 3699 3888 4384 4932 5184 6576 7398 7776 8768 9864 11097 13152 14796 15552 19728 22194 26304 29592 33291 39456 44388 59184 66582 78912 88776 118368 133164 177552 236736 266328 355104 532656 710208 1065312 2130624