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2028013440 = 27355471931
BaseRepresentation
bin111100011100001…
…0000011110000000
312020100001202102220
41320320100132000
513123132412230
6533123211040
7101153554425
oct17070203600
95210052386
102028013440
11950840572
12487216a80
1326420506b
141534abd4c
15bd097d10
hex78e10780

2028013440 has 128 divisors (see below), whose sum is σ = 6479464320. Its totient is φ = 539535360.

The previous prime is 2028013423. The next prime is 2028013447. The reversal of 2028013440 is 443108202.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×20280134402 = 8225677025641267200, which contains 22 as substring.

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 2028013440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2028013447) 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, 1049275 + ... + 1051205.

It is an arithmetic number, because the mean of its divisors is an integer number (50620815).

Almost surely, 22028013440 is an apocalyptic number.

2028013440 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 2028013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3239732160).

2028013440 is an abundant number, since it is smaller than the sum of its proper divisors (4451450880).

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

2028013440 is a wasteful number, since it uses less digits than its factorization.

2028013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2028013440 is about 45033.4702193824. The cubic root of 2028013440 is about 1265.7762507974.

The spelling of 2028013440 in words is "two billion, twenty-eight million, thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 547 640 960 1094 1641 1920 1931 2188 2735 3282 3862 4376 5470 5793 6564 7724 8205 8752 9655 10940 11586 13128 15448 16410 17504 19310 21880 23172 26256 28965 30896 32820 35008 38620 43760 46344 52512 57930 61792 65640 70016 77240 87520 92688 105024 115860 123584 131280 154480 175040 185376 210048 231720 247168 262560 308960 350080 370752 463440 525120 617920 741504 926880 1050240 1056257 1235840 1853760 2112514 3168771 3707520 4225028 5281285 6337542 8450056 10562570 12675084 15843855 16900112 21125140 25350168 31687710 33800224 42250280 50700336 63375420 67600448 84500560 101400672 126750840 135200896 169001120 202801344 253501680 338002240 405602688 507003360 676004480 1014006720 2028013440