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2159872 = 28111359
BaseRepresentation
bin1000001111010100000000
311001201210021
420033110000
51023103442
6114143224
724234001
oct10172400
94051707
102159872
111245820
12881b14
135a8140
144031a8
152c9e67
hex20f500

2159872 has 72 divisors (see below), whose sum is σ = 5150880. Its totient is φ = 890880.

The previous prime is 2159831. The next prime is 2159881. The reversal of 2159872 is 2789512.

2159872 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 36579 + ... + 36637.

It is an arithmetic number, because the mean of its divisors is an integer number (71540).

22159872 is an apocalyptic number.

2159872 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 2159872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575440).

2159872 is an abundant number, since it is smaller than the sum of its proper divisors (2991008).

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

2159872 is a wasteful number, since it uses less digits than its factorization.

2159872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 85 counting only the distinct ones).

The product of its digits is 10080, while the sum is 34.

The square root of 2159872 is about 1469.6502985404. The cubic root of 2159872 is about 129.2635279474.

The spelling of 2159872 in words is "two million, one hundred fifty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 59 64 88 104 118 128 143 176 208 236 256 286 352 416 472 572 649 704 767 832 944 1144 1298 1408 1534 1664 1888 2288 2596 2816 3068 3328 3776 4576 5192 6136 7552 8437 9152 10384 12272 15104 16874 18304 20768 24544 33748 36608 41536 49088 67496 83072 98176 134992 166144 196352 269984 539968 1079936 2159872