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2028780 = 2233513172
BaseRepresentation
bin111101111010011101100
310211001222000
413233103230
51004410110
6111252300
723146545
oct7572354
93731860
102028780
111166286
1281a090
13560580
143ab4cc
152a11c0
hex1ef4ec

2028780 has 144 divisors (see below), whose sum is σ = 7220640. Its totient is φ = 470016.

The previous prime is 2028779. The next prime is 2028781. The reversal of 2028780 is 878202.

It is an interprime number because it is at equal distance from previous prime (2028779) and next prime (2028781).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2028781) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119332 + ... + 119348.

22028780 is an apocalyptic number.

2028780 is a gapful number since it is divisible by the number (20) 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 2028780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3610320).

2028780 is an abundant number, since it is smaller than the sum of its proper divisors (5191860).

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

2028780 is a wasteful number, since it uses less digits than its factorization.

2028780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2028780 is about 1424.3524844644. The cubic root of 2028780 is about 126.5935712465.

The spelling of 2028780 in words is "two million, twenty-eight thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 17 18 20 26 27 30 34 36 39 45 51 52 54 60 65 68 78 85 90 102 108 117 130 135 153 156 170 180 195 204 221 234 255 260 270 289 306 340 351 390 442 459 468 510 540 578 585 612 663 702 765 780 867 884 918 1020 1105 1156 1170 1326 1404 1445 1530 1734 1755 1836 1989 2210 2295 2340 2601 2652 2890 3060 3315 3468 3510 3757 3978 4335 4420 4590 5202 5780 5967 6630 7020 7514 7803 7956 8670 9180 9945 10404 11271 11934 13005 13260 15028 15606 17340 18785 19890 22542 23868 26010 29835 31212 33813 37570 39015 39780 45084 52020 56355 59670 67626 75140 78030 101439 112710 119340 135252 156060 169065 202878 225420 338130 405756 507195 676260 1014390 2028780