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2841072 = 2431329157
BaseRepresentation
bin1010110101100111110000
312100100012220
422311213300
51211403242
6140521040
733102003
oct12654760
95310186
102841072
1116705a3
12b50180
13786210
1453d53a
153b1bec
hex2b59f0

2841072 has 80 divisors (see below), whose sum is σ = 8228640. Its totient is φ = 838656.

The previous prime is 2841071. The next prime is 2841073. The reversal of 2841072 is 2701482.

It is an interprime number because it is at equal distance from previous prime (2841071) and next prime (2841073).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2841071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18018 + ... + 18174.

It is an arithmetic number, because the mean of its divisors is an integer number (102858).

22841072 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 2841072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4114320).

2841072 is an abundant number, since it is smaller than the sum of its proper divisors (5387568).

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

2841072 is a wasteful number, since it uses less digits than its factorization.

2841072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 2841072 is about 1685.5479821115. The cubic root of 2841072 is about 141.6317908767.

It can be divided in two parts, 28410 and 72, that added together give a palindrome (28482).

The spelling of 2841072 in words is "two million, eight hundred forty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 78 87 104 116 156 157 174 208 232 312 314 348 377 464 471 624 628 696 754 942 1131 1256 1392 1508 1884 2041 2262 2512 3016 3768 4082 4524 4553 6032 6123 7536 8164 9048 9106 12246 13659 16328 18096 18212 24492 27318 32656 36424 48984 54636 59189 72848 97968 109272 118378 177567 218544 236756 355134 473512 710268 947024 1420536 2841072