Search a number
-
+
646213960 = 235722911369
BaseRepresentation
bin100110100001000…
…111000101001000
31200000222001220101
4212201013011020
52310412321320
6144042335144
722004504500
oct4641070510
91600861811
10646213960
11301853127
121604ba4b4
13a3b59932
1461b76a00
153baeac0a
hex26847148

646213960 has 96 divisors (see below), whose sum is σ = 1749843000. Its totient is φ = 213900288.

The previous prime is 646213943. The next prime is 646213969. The reversal of 646213960 is 69312646.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 542051524 + 104162436 = 23282^2 + 10206^2 .

It is not an unprimeable number, because it can be changed into a prime (646213969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51156 + ... + 62524.

Almost surely, 2646213960 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 646213960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874921500).

646213960 is an abundant number, since it is smaller than the sum of its proper divisors (1103629040).

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

646213960 is a wasteful number, since it uses less digits than its factorization.

646213960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11423 (or 11412 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 646213960 is about 25420.7387776201. The cubic root of 646213960 is about 864.5539750048.

The spelling of 646213960 in words is "six hundred forty-six million, two hundred thirteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 49 56 58 70 98 116 140 145 196 203 232 245 280 290 392 406 490 580 812 980 1015 1160 1421 1624 1960 2030 2842 4060 5684 7105 8120 11368 11369 14210 22738 28420 45476 56840 56845 79583 90952 113690 159166 227380 318332 329701 397915 454760 557081 636664 659402 795830 1114162 1318804 1591660 1648505 2228324 2307907 2637608 2785405 3183320 3297010 4456648 4615814 5570810 6594020 9231628 11141620 11539535 13188040 16155349 18463256 22283240 23079070 32310698 46158140 64621396 80776745 92316280 129242792 161553490 323106980 646213960