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2139072 = 26313857
BaseRepresentation
bin1000001010001111000000
311000200020220
420022033000
51021422242
6113503040
724116235
oct10121700
94020226
102139072
111231131
12871a80
1359b830
143d978c
152c3bec
hex20a3c0

2139072 has 56 divisors (see below), whose sum is σ = 6102096. Its totient is φ = 657408.

The previous prime is 2139047. The next prime is 2139091. The reversal of 2139072 is 2709312.

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

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, 2068 + ... + 2924.

It is an arithmetic number, because the mean of its divisors is an integer number (108966).

22139072 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 2139072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3051048).

2139072 is an abundant number, since it is smaller than the sum of its proper divisors (3963024).

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

2139072 is a wasteful number, since it uses less digits than its factorization.

2139072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 2139072 is about 1462.5566655689. The cubic root of 2139072 is about 128.8472442197.

It can be divided in two parts, 21 and 39072, that added together give a palindrome (39093).

The spelling of 2139072 in words is "two million, one hundred thirty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 857 1248 1714 2496 2571 3428 5142 6856 10284 11141 13712 20568 22282 27424 33423 41136 44564 54848 66846 82272 89128 133692 164544 178256 267384 356512 534768 713024 1069536 2139072