Search a number
-
+
1240212204 = 2232711541827
BaseRepresentation
bin100100111101100…
…0010001011101100
310012102200022022100
41021323002023230
510014443242304
6323022015100
742506426010
oct11173021354
93172608270
101240212204
11587081870
122a7417490
13169c3379a
14ba9da540
1573d30439
hex49ec22ec

1240212204 has 144 divisors (see below), whose sum is σ = 3920507136. Its totient is φ = 321148800.

The previous prime is 1240212199. The next prime is 1240212217. The reversal of 1240212204 is 4022120421.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1499239 + ... + 1500065.

It is an arithmetic number, because the mean of its divisors is an integer number (27225744).

Almost surely, 21240212204 is an apocalyptic number.

1240212204 is a gapful number since it is divisible by the number (14) 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 1240212204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960253568).

1240212204 is an abundant number, since it is smaller than the sum of its proper divisors (2680294932).

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

1240212204 is a wasteful number, since it uses less digits than its factorization.

1240212204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1240212204 is about 35216.6466887465. The cubic root of 1240212204 is about 1074.3983520697.

Adding to 1240212204 its reverse (4022120421), we get a palindrome (5262332625).

It can be divided in two parts, 1240 and 212204, that added together give a square (213444 = 4622).

The spelling of 1240212204 in words is "one billion, two hundred forty million, two hundred twelve thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 541 693 827 924 1082 1386 1623 1654 2164 2481 2772 3246 3308 3787 4869 4962 5789 5951 6492 7443 7574 9097 9738 9924 11361 11578 11902 14886 15148 17367 17853 18194 19476 22722 23156 23804 27291 29772 34083 34734 35706 36388 41657 45444 52101 53559 54582 63679 68166 69468 71412 81873 83314 104202 107118 109164 124971 127358 136332 163746 166628 191037 208404 214236 249942 254716 327492 374913 382074 447407 499884 573111 749826 764148 894814 1146222 1342221 1499652 1789628 2292444 2684442 3131849 4026663 4921477 5368884 6263698 8053326 9395547 9842954 12527396 14764431 16106652 18791094 19685908 28186641 29528862 34450339 37582188 44293293 56373282 59057724 68900678 88586586 103351017 112746564 137801356 177173172 206702034 310053051 413404068 620106102 1240212204