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2028158040 = 2335195915077
BaseRepresentation
bin111100011100011…
…0011110001011000
312020100100002210110
41320320303301120
513123202024130
6533130244320
7101155026126
oct17070636130
95210302713
102028158040
1195092a177
124872866a0
13264255b1c
14153508916
15bd0c5ab0
hex78e33c58

2028158040 has 128 divisors (see below), whose sum is σ = 6513696000. Its totient is φ = 503659008.

The previous prime is 2028157979. The next prime is 2028158047. The reversal of 2028158040 is 408518202.

It is a super-2 number, since 2×20281580402 = 8226850070433283200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2028157989 and 2028158007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2028158047) 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, 126982 + ... + 142058.

It is an arithmetic number, because the mean of its divisors is an integer number (50888250).

Almost surely, 22028158040 is an apocalyptic number.

2028158040 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 2028158040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3256848000).

2028158040 is an abundant number, since it is smaller than the sum of its proper divisors (4485537960).

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

2028158040 is a wasteful number, since it uses less digits than its factorization.

2028158040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15169 (or 15165 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 2028158040 is about 45035.0756633094. The cubic root of 2028158040 is about 1265.8063339143.

The spelling of 2028158040 in words is "two billion, twenty-eight million, one hundred fifty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 59 60 76 95 114 118 120 152 177 190 228 236 285 295 354 380 456 472 570 590 708 760 885 1121 1140 1180 1416 1770 2242 2280 2360 3363 3540 4484 5605 6726 7080 8968 11210 13452 15077 16815 22420 26904 30154 33630 44840 45231 60308 67260 75385 90462 120616 134520 150770 180924 226155 286463 301540 361848 452310 572926 603080 859389 889543 904620 1145852 1432315 1718778 1779086 1809240 2291704 2668629 2864630 3437556 3558172 4296945 4447715 5337258 5729260 6875112 7116344 8593890 8895430 10674516 11458520 13343145 16901317 17187780 17790860 21349032 26686290 33802634 34375560 35581720 50703951 53372580 67605268 84506585 101407902 106745160 135210536 169013170 202815804 253519755 338026340 405631608 507039510 676052680 1014079020 2028158040