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2021551540 = 2253179149277
BaseRepresentation
bin111100001111110…
…0110110110110100
312012212220110101021
41320133212312310
513120004122130
6532332510524
7101044622161
oct17037466664
95185813337
102021551540
11948127658
1248501b444
13262a81a58
141526a9068
15bc71d37a
hex787e6db4

2021551540 has 96 divisors (see below), whose sum is σ = 4483584000. Its totient is φ = 764674560.

The previous prime is 2021551513. The next prime is 2021551579. The reversal of 2021551540 is 451551202.

It is a super-3 number, since 3×20215515403 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7297882 + ... + 7298158.

It is an arithmetic number, because the mean of its divisors is an integer number (46704000).

Almost surely, 22021551540 is an apocalyptic number.

2021551540 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 2021551540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241792000).

2021551540 is an abundant number, since it is smaller than the sum of its proper divisors (2462032460).

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

2021551540 is a wasteful number, since it uses less digits than its factorization.

2021551540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 2021551540 is about 44961.6674512857. The cubic root of 2021551540 is about 1264.4304309400.

The spelling of 2021551540 in words is "two billion, twenty-one million, five hundred fifty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 31 62 79 124 149 155 158 277 298 310 316 395 554 596 620 745 790 1108 1385 1490 1580 2449 2770 2980 4619 4898 5540 8587 9238 9796 11771 12245 17174 18476 21883 23095 23542 24490 34348 41273 42935 43766 46190 47084 48980 58855 82546 85870 87532 92380 109415 117710 165092 171740 206365 218830 235420 364901 412730 437660 678373 729802 825460 1279463 1356746 1459604 1824505 2558926 2713492 3260567 3391865 3649010 5117852 6397315 6521134 6783730 7298020 12794630 13042268 13567460 16302835 25589260 32605670 65211340 101077577 202155154 404310308 505387885 1010775770 2021551540