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2942710020 = 223357176753
BaseRepresentation
bin1010111101100110…
…0011000100000100
321121002020011021000
42233121203010010
522011313210040
61204000253300
7132631423335
oct25731430404
97532204230
102942710020
1112800a0658
126a1611230
1337b875c43
141dcb7228c
15123529130
hexaf663104

2942710020 has 96 divisors (see below), whose sum is σ = 9284163840. Its totient is φ = 773660160.

The previous prime is 2942710009. The next prime is 2942710021. The reversal of 2942710020 is 200172492.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2942710021) 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, 37 + ... + 76716.

It is an arithmetic number, because the mean of its divisors is an integer number (96710040).

Almost surely, 22942710020 is an apocalyptic number.

2942710020 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 2942710020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4642081920).

2942710020 is an abundant number, since it is smaller than the sum of its proper divisors (6341453820).

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

2942710020 is a wasteful number, since it uses less digits than its factorization.

2942710020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76842 (or 76834 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2942710020 is about 54246.7512391295. The cubic root of 2942710020 is about 1433.0097853926.

The spelling of 2942710020 in words is "two billion, nine hundred forty-two million, seven hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 71 90 108 135 142 180 213 270 284 355 426 540 639 710 852 1065 1278 1420 1917 2130 2556 3195 3834 4260 6390 7668 9585 12780 19170 38340 76753 153506 230259 307012 383765 460518 690777 767530 921036 1151295 1381554 1535060 2072331 2302590 2763108 3453885 4144662 4605180 5449463 6907770 8289324 10361655 10898926 13815540 16348389 20723310 21797852 27247315 32696778 41446620 49045167 54494630 65393556 81741945 98090334 108989260 147135501 163483890 196180668 245225835 294271002 326967780 490451670 588542004 735677505 980903340 1471355010 2942710020