Search a number
-
+
1210331140 = 225313116277
BaseRepresentation
bin100100000100100…
…0011000000000100
310010100110012012021
41020021003000010
54434321044030
6320033332524
741664434134
oct11011030004
93110405167
101210331140
11571222777
12299407144
131639a0995
14b6a5cac4
15713cb97a
hex48243004

1210331140 has 48 divisors (see below), whose sum is σ = 2632541184. Its totient is φ = 466934400.

The previous prime is 1210331131. The next prime is 1210331189. The reversal of 1210331140 is 411330121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189682 + ... + 195958.

It is an arithmetic number, because the mean of its divisors is an integer number (54844608).

Almost surely, 21210331140 is an apocalyptic number.

1210331140 is a gapful number since it is divisible by the number (10) 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 1210331140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316270592).

1210331140 is an abundant number, since it is smaller than the sum of its proper divisors (1422210044).

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

1210331140 is a wasteful number, since it uses less digits than its factorization.

1210331140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6628 (or 6626 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1210331140 is about 34789.8137390817. The cubic root of 1210331140 is about 1065.6994354829.

Adding to 1210331140 its reverse (411330121), we get a palindrome (1621661261).

The spelling of 1210331140 in words is "one billion, two hundred ten million, three hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 311 620 622 1244 1555 3110 6220 6277 9641 12554 19282 25108 31385 38564 48205 62770 96410 125540 192820 194587 389174 778348 972935 1945870 1952147 3891740 3904294 7808588 9760735 19521470 39042940 60516557 121033114 242066228 302582785 605165570 1210331140