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2125344 = 253132131
BaseRepresentation
bin1000000110111000100000
310222222102110
420012320200
51021002334
6113315320
724031224
oct10067040
93888373
102125344
111221891
12865b40
13595500
143d4784
152beae9
hex206e20

2125344 has 72 divisors (see below), whose sum is σ = 6087312. Its totient is φ = 648960.

The previous prime is 2125339. The next prime is 2125373. The reversal of 2125344 is 4435212.

It is a self number, because there is not a number n which added to its sum of digits gives 2125344.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 16159 + ... + 16289.

It is an arithmetic number, because the mean of its divisors is an integer number (84546).

22125344 is an apocalyptic number.

2125344 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 2125344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3043656).

2125344 is an abundant number, since it is smaller than the sum of its proper divisors (3961968).

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

2125344 is a wasteful number, since it uses less digits than its factorization.

2125344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 149 counting only the distinct ones).

The product of its digits is 960, while the sum is 21.

The square root of 2125344 is about 1457.8559599631. The cubic root of 2125344 is about 128.5710165772.

The spelling of 2125344 in words is "two million, one hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 131 156 169 208 262 312 338 393 416 507 524 624 676 786 1014 1048 1248 1352 1572 1703 2028 2096 2704 3144 3406 4056 4192 5109 5408 6288 6812 8112 10218 12576 13624 16224 20436 22139 27248 40872 44278 54496 66417 81744 88556 132834 163488 177112 265668 354224 531336 708448 1062672 2125344