Search a number
-
+
1211243440 = 245112774969
BaseRepresentation
bin100100000110010…
…0001101110110000
310010102011112122011
41020030201232300
54440034242230
6320105052304
742005253661
oct11014415660
93112145564
101211243440
11571796140
12299787094
13163c2ccc4
14b6c19368
157150be2a
hex48321bb0

1211243440 has 80 divisors (see below), whose sum is σ = 3083865120. Its totient is φ = 438773760.

The previous prime is 1211243413. The next prime is 1211243459. The reversal of 1211243440 is 443421121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×12112434402 = 2934221341886067200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241276 + ... + 246244.

It is an arithmetic number, because the mean of its divisors is an integer number (38548314).

Almost surely, 21211243440 is an apocalyptic number.

1211243440 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 1211243440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541932560).

1211243440 is an abundant number, since it is smaller than the sum of its proper divisors (1872621680).

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

1211243440 is a wasteful number, since it uses less digits than its factorization.

1211243440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5270 (or 5264 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1211243440 is about 34802.9228657594. The cubic root of 1211243440 is about 1065.9671290055.

Adding to 1211243440 its reverse (443421121), we get a palindrome (1654664561).

The spelling of 1211243440 in words is "one billion, two hundred eleven million, two hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 277 440 554 880 1108 1385 2216 2770 3047 4432 4969 5540 6094 9938 11080 12188 15235 19876 22160 24376 24845 30470 39752 48752 49690 54659 60940 79504 99380 109318 121880 198760 218636 243760 273295 397520 437272 546590 874544 1093180 1376413 2186360 2752826 4372720 5505652 6882065 11011304 13764130 15140543 22022608 27528260 30281086 55056520 60562172 75702715 110113040 121124344 151405430 242248688 302810860 605621720 1211243440