Search a number
-
+
2064162920 = 235476471697
BaseRepresentation
bin111101100001000…
…1010000001101000
312022212002100012112
41323002022001220
513211411203140
6540454101452
7102103044461
oct17302120150
95285070175
102064162920
1196a191176
1249734a888
1326b8510a1
141581dbd68
15c1338c65
hex7b08a068

2064162920 has 64 divisors (see below), whose sum is σ = 4753313280. Its totient is φ = 806373376.

The previous prime is 2064162913. The next prime is 2064162923. The reversal of 2064162920 is 292614602.

It is not an unprimeable number, because it can be changed into a prime (2064162923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1215512 + ... + 1217208.

It is an arithmetic number, because the mean of its divisors is an integer number (74270520).

Almost surely, 22064162920 is an apocalyptic number.

2064162920 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 2064162920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376656640).

2064162920 is an abundant number, since it is smaller than the sum of its proper divisors (2689150360).

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

2064162920 is a wasteful number, since it uses less digits than its factorization.

2064162920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 2064162920 is about 45433.0597692913. The cubic root of 2064162920 is about 1273.2528513468.

The spelling of 2064162920 in words is "two billion, sixty-four million, one hundred sixty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 647 940 1294 1697 1880 2588 3235 3394 5176 6470 6788 8485 12940 13576 16970 25880 30409 33940 60818 67880 79759 121636 152045 159518 243272 304090 319036 398795 608180 638072 797590 1097959 1216360 1595180 2195918 3190360 4391836 5489795 8783672 10979590 21959180 43918360 51604073 103208146 206416292 258020365 412832584 516040730 1032081460 2064162920