Search a number
-
+
2002110320 = 24575936029
BaseRepresentation
bin111011101010101…
…1100011101110000
312011112022202001002
41313111130131300
513100020012240
6530400101132
7100420441220
oct16725343560
95145282032
102002110320
11938159131
1247a6047a8
1325ba35a82
1414dc88080
15bab7cd15
hex7755c770

2002110320 has 80 divisors (see below), whose sum is σ = 5329748160. Its totient is φ = 685166592.

The previous prime is 2002110289. The next prime is 2002110353. The reversal of 2002110320 is 230112002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 329066 + ... + 335094.

It is an arithmetic number, because the mean of its divisors is an integer number (66621852).

Almost surely, 22002110320 is an apocalyptic number.

2002110320 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 2002110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664874080).

2002110320 is an abundant number, since it is smaller than the sum of its proper divisors (3327637840).

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

2002110320 is a wasteful number, since it uses less digits than its factorization.

2002110320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6642 (or 6636 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2002110320 is about 44744.9474242623. The cubic root of 2002110320 is about 1260.3640335568.

Adding to 2002110320 its reverse (230112002), we get a palindrome (2232222322).

The spelling of 2002110320 in words is "two billion, two million, one hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 593 1186 2372 2965 4151 4744 5930 6029 8302 9488 11860 12058 16604 20755 23720 24116 30145 33208 41510 42203 47440 48232 60290 66416 83020 84406 96464 120580 166040 168812 211015 241160 332080 337624 422030 482320 675248 844060 1688120 3376240 3575197 7150394 14300788 17875985 25026379 28601576 35751970 50052758 57203152 71503940 100105516 125131895 143007880 200211032 250263790 286015760 400422064 500527580 1001055160 2002110320