Search a number
-
+
3211420140 = 2232535949697
BaseRepresentation
bin1011111101101010…
…0110000111101100
322021210212001020200
42333122212013230
523034110421030
61250355513500
7142403422635
oct27732460754
98253761220
103211420140
1113a8843535
127575b8890
133c2439906
1422671c88c
1513be06d60
hexbf6a61ec

3211420140 has 72 divisors (see below), whose sum is σ = 9768638880. Its totient is φ = 853976064.

The previous prime is 3211420117. The next prime is 3211420141. The reversal of 3211420140 is 410241123.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3211420141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39772 + ... + 89468.

It is an arithmetic number, because the mean of its divisors is an integer number (135675540).

Almost surely, 23211420140 is an apocalyptic number.

3211420140 is a gapful number since it is divisible by the number (30) 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 3211420140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4884319440).

3211420140 is an abundant number, since it is smaller than the sum of its proper divisors (6557218740).

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

3211420140 is a wasteful number, since it uses less digits than its factorization.

3211420140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50071 (or 50066 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3211420140 is about 56669.3933265568. The cubic root of 3211420140 is about 1475.3635246864.

Adding to 3211420140 its reverse (410241123), we get a palindrome (3621661263).

The spelling of 3211420140 in words is "three billion, two hundred eleven million, four hundred twenty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 359 718 1077 1436 1795 2154 3231 3590 4308 5385 6462 7180 10770 12924 16155 21540 32310 49697 64620 99394 149091 198788 248485 298182 447273 496970 596364 745455 894546 993940 1490910 1789092 2236365 2981820 4472730 8945460 17841223 35682446 53523669 71364892 89206115 107047338 160571007 178412230 214094676 267618345 321142014 356824460 535236690 642284028 802855035 1070473380 1605710070 3211420140