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2028240 = 24345313
BaseRepresentation
bin111101111001011010000
310211001020000
413233023100
51004400430
6111250000
723145144
oct7571320
93731200
102028240
111165935
12819900
13560256
143ab224
152a0e60
hex1ef2d0

2028240 has 100 divisors (see below), whose sum is σ = 7066884. Its totient is φ = 539136.

The previous prime is 2028239. The next prime is 2028241. The reversal of 2028240 is 428202.

It is an interprime number because it is at equal distance from previous prime (2028239) and next prime (2028241).

It can be written as a sum of positive squares in 2 ways, for example, as 254016 + 1774224 = 504^2 + 1332^2 .

It is a super-2 number, since 2×20282402 = 8227514995200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2028241) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6324 + ... + 6636.

22028240 is an apocalyptic number.

2028240 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 2028240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3533442).

2028240 is an abundant number, since it is smaller than the sum of its proper divisors (5038644).

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

2028240 is a wasteful number, since it uses less digits than its factorization.

2028240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2028240 is about 1424.1629120294. The cubic root of 2028240 is about 126.5823384540.

The spelling of 2028240 in words is "two million, twenty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 313 324 360 405 432 540 626 648 720 810 939 1080 1252 1296 1565 1620 1878 2160 2504 2817 3130 3240 3756 4695 5008 5634 6260 6480 7512 8451 9390 11268 12520 14085 15024 16902 18780 22536 25040 25353 28170 33804 37560 42255 45072 50706 56340 67608 75120 84510 101412 112680 126765 135216 169020 202824 225360 253530 338040 405648 507060 676080 1014120 2028240