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2054660020 = 2257831511171
BaseRepresentation
bin111101001110111…
…1001111110110100
312022012012112200021
41322131321332310
513201443110040
6535514254524
7101626215310
oct17235717664
95265175607
102054660020
11964890536
12494127444
132698a487a
14156c46b40
15c05ad24a
hex7a779fb4

2054660020 has 96 divisors (see below), whose sum is σ = 5027936256. Its totient is φ = 690768000.

The previous prime is 2054660009. The next prime is 2054660029. The reversal of 2054660020 is 200664502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2054660029) 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, 1754035 + ... + 1755205.

It is an arithmetic number, because the mean of its divisors is an integer number (52374336).

Almost surely, 22054660020 is an apocalyptic number.

2054660020 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 2054660020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2513968128).

2054660020 is an abundant number, since it is smaller than the sum of its proper divisors (2973276236).

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

2054660020 is a wasteful number, since it uses less digits than its factorization.

2054660020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 2054660020 is about 45328.3577906811. The cubic root of 2054660020 is about 1271.2959305542.

The spelling of 2054660020 in words is "two billion, fifty-four million, six hundred sixty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 83 140 151 166 302 332 415 581 604 755 830 1057 1162 1171 1510 1660 2114 2324 2342 2905 3020 4228 4684 5285 5810 5855 8197 10570 11620 11710 12533 16394 21140 23420 25066 32788 40985 50132 62665 81970 87731 97193 125330 163940 175462 176821 194386 250660 350924 353642 388772 438655 485965 680351 707284 877310 884105 971930 1237747 1360702 1754620 1768210 1943860 2475494 2721404 3401755 3536420 4950988 6188735 6803510 12377470 13607020 14676143 24754940 29352286 58704572 73380715 102733001 146761430 205466002 293522860 410932004 513665005 1027330010 2054660020