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2621205020 = 2257229149619
BaseRepresentation
bin1001110000111100…
…0110101000011100
320202200021000022102
42130033012220130
520332012030040
61112033304232
7121645606100
oct23417065034
96680230272
102621205020
111125669145
12611a05078
1332a0889b5
141ac1a1900
151051bd515
hex9c3c6a1c

2621205020 has 144 divisors (see below), whose sum is σ = 6679260000. Its totient is φ = 860493312.

The previous prime is 2621205011. The next prime is 2621205029. The reversal of 2621205020 is 205021262.

It is an interprime number because it is at equal distance from previous prime (2621205011) and next prime (2621205029).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2621204983 and 2621205001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2621205029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4234271 + ... + 4234889.

It is an arithmetic number, because the mean of its divisors is an integer number (46383750).

Almost surely, 22621205020 is an apocalyptic number.

2621205020 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 2621205020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3339630000).

2621205020 is an abundant number, since it is smaller than the sum of its proper divisors (4058054980).

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

2621205020 is a wasteful number, since it uses less digits than its factorization.

2621205020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2621205020 is about 51197.7052220117. The cubic root of 2621205020 is about 1378.7970017351.

Adding to 2621205020 its reverse (205021262), we get a palindrome (2826226282).

The spelling of 2621205020 in words is "two billion, six hundred twenty-one million, two hundred five thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 49 58 70 98 116 140 145 149 196 203 245 290 298 406 490 580 596 619 745 812 980 1015 1043 1238 1421 1490 2030 2086 2476 2842 2980 3095 4060 4172 4321 4333 5215 5684 6190 7105 7301 8642 8666 10430 12380 14210 14602 17284 17332 17951 20860 21605 21665 28420 29204 30247 30331 35902 36505 43210 43330 60494 60662 71804 73010 86420 86660 89755 92231 120988 121324 125657 146020 151235 151655 179510 184462 211729 251314 302470 303310 359020 368924 423458 461155 502628 604940 606620 628285 645617 846916 879599 922310 1058645 1256570 1291234 1759198 1844620 2117290 2513140 2582468 2674699 3228085 3518396 4234580 4397995 4519319 5349398 6456170 8795990 9038638 10698796 12912340 13373495 17591980 18077276 18722893 22596595 26746990 37445786 45193190 53493980 74891572 90386380 93614465 131060251 187228930 262120502 374457860 524241004 655301255 1310602510 2621205020