Search a number
-
+
643047020 = 2257111921977
BaseRepresentation
bin100110010101000…
…001111001101100
31122211000011200022
4212111001321230
52304110001040
6143450421312
721635544440
oct4625017154
91584004608
10643047020
112aaa8a820
1215b431838
13a32bb2c5
1461590820
153b6c26b5
hex26541e6c

643047020 has 96 divisors (see below), whose sum is σ = 1772305920. Its totient is φ = 189872640.

The previous prime is 643046977. The next prime is 643047023. The reversal of 643047020 is 20740346.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (643047023) 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, 18272 + ... + 40248.

It is an arithmetic number, because the mean of its divisors is an integer number (18461520).

Almost surely, 2643047020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 643047020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886152960).

643047020 is an abundant number, since it is smaller than the sum of its proper divisors (1129258900).

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

643047020 is a wasteful number, since it uses less digits than its factorization.

643047020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22023 (or 22021 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 643047020 is about 25358.3717931574. The cubic root of 643047020 is about 863.1393374912.

Adding to 643047020 its reverse (20740346), we get a palindrome (663787366).

The spelling of 643047020 in words is "six hundred forty-three million, forty-seven thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 19 20 22 28 35 38 44 55 70 76 77 95 110 133 140 154 190 209 220 266 308 380 385 418 532 665 770 836 1045 1330 1463 1540 2090 2660 2926 4180 5852 7315 14630 21977 29260 43954 87908 109885 153839 219770 241747 307678 417563 439540 483494 615356 769195 835126 966988 1208735 1538390 1670252 1692229 2087815 2417470 2922941 3076780 3384458 4175630 4593193 4834940 5845882 6768916 8351260 8461145 9186386 11691764 14614705 16922290 18372772 22965965 29229410 32152351 33844580 45931930 58458820 64304702 91863860 128609404 160761755 321523510 643047020