Search a number
-
+
2028516 = 2237193141
BaseRepresentation
bin111101111001111100100
310211001121020
413233033210
51004403031
6111251140
723146020
oct7571744
93731536
102028516
111166066
12819ab0
13560409
143ab380
152a1096
hex1ef3e4

2028516 has 96 divisors (see below), whose sum is σ = 6021120. Its totient is φ = 518400.

The previous prime is 2028511. The next prime is 2028517. The reversal of 2028516 is 6158202.

It is a super-2 number, since 2×20285162 = 8229754324512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2028511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49456 + ... + 49496.

It is an arithmetic number, because the mean of its divisors is an integer number (62720).

22028516 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 2028516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3010560).

2028516 is an abundant number, since it is smaller than the sum of its proper divisors (3992604).

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

2028516 is a wasteful number, since it uses less digits than its factorization.

2028516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2028516 is about 1424.2598077598. The cubic root of 2028516 is about 126.5880799081.

It can be divided in two parts, 20285 and 16, that added together give a triangular number (20301 = T201).

The spelling of 2028516 in words is "two million, twenty-eight thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 31 38 41 42 57 62 76 82 84 93 114 123 124 133 164 186 217 228 246 266 287 372 399 434 492 532 574 589 651 779 798 861 868 1148 1178 1271 1302 1558 1596 1722 1767 2337 2356 2542 2604 3116 3444 3534 3813 4123 4674 5084 5453 7068 7626 8246 8897 9348 10906 12369 15252 16359 16492 17794 21812 24149 24738 26691 32718 35588 48298 49476 53382 65436 72447 96596 106764 144894 169043 289788 338086 507129 676172 1014258 2028516