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2028840 = 2335112953
BaseRepresentation
bin111101111010100101000
310211002001020
413233110220
51004410330
6111252440
723146662
oct7572450
93732036
102028840
111166330
1281a120
135605c8
143ab532
152a1210
hex1ef528

2028840 has 128 divisors (see below), whose sum is σ = 6998400. Its totient is φ = 465920.

The previous prime is 2028809. The next prime is 2028841. The reversal of 2028840 is 488202.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2028840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2028841) 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, 38254 + ... + 38306.

It is an arithmetic number, because the mean of its divisors is an integer number (54675).

22028840 is an apocalyptic number.

2028840 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 2028840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499200).

2028840 is an abundant number, since it is smaller than the sum of its proper divisors (4969560).

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

2028840 is a wasteful number, since it uses less digits than its factorization.

2028840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2028840 is about 1424.3735465109. The cubic root of 2028840 is about 126.5948192115.

The spelling of 2028840 in words is "two million, twenty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 29 30 33 40 44 53 55 58 60 66 87 88 106 110 116 120 132 145 159 165 174 212 220 232 264 265 290 318 319 330 348 424 435 440 530 580 583 636 638 660 696 795 870 957 1060 1160 1166 1272 1276 1320 1537 1590 1595 1740 1749 1914 2120 2332 2552 2915 3074 3180 3190 3480 3498 3828 4611 4664 4785 5830 6148 6360 6380 6996 7656 7685 8745 9222 9570 11660 12296 12760 13992 15370 16907 17490 18444 19140 23055 23320 30740 33814 34980 36888 38280 46110 50721 61480 67628 69960 84535 92220 101442 135256 169070 184440 202884 253605 338140 405768 507210 676280 1014420 2028840