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1241400132 = 2232741532267
BaseRepresentation
bin100100111111110…
…0100001101000100
310012111220122211200
41021333210031010
510020244301012
6323103302500
742522504240
oct11177441504
93174818750
101241400132
11587813325
122a78aaa30
1316a25b3bb
14bac29420
1573eb73dc
hex49fe4344

1241400132 has 144 divisors (see below), whose sum is σ = 3744703872. Its totient is φ = 339356160.

The previous prime is 1241400119. The next prime is 1241400217. The reversal of 1241400132 is 2310041421.

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, 546463 + ... + 548729.

It is an arithmetic number, because the mean of its divisors is an integer number (26004888).

Almost surely, 21241400132 is an apocalyptic number.

1241400132 is a gapful number since it is divisible by the number (12) 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 1241400132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872351936).

1241400132 is an abundant number, since it is smaller than the sum of its proper divisors (2503303740).

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

1241400132 is a wasteful number, since it uses less digits than its factorization.

1241400132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378 (or 2373 counting only the distinct ones).

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

The square root of 1241400132 is about 35233.5086529854. The cubic root of 1241400132 is about 1074.7412774168.

Adding to 1241400132 its reverse (2310041421), we get a palindrome (3551441553).

The spelling of 1241400132 in words is "one billion, two hundred forty-one million, four hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 53 63 82 84 106 123 126 159 164 212 246 252 287 318 369 371 477 492 574 636 738 742 861 954 1113 1148 1476 1484 1722 1908 2173 2226 2267 2583 3339 3444 4346 4452 4534 5166 6519 6678 6801 8692 9068 10332 13038 13356 13602 15211 15869 19557 20403 26076 27204 30422 31738 39114 40806 45633 47607 60844 63476 78228 81612 91266 92947 95214 120151 136899 142821 182532 185894 190428 240302 273798 278841 285642 360453 371788 480604 547596 557682 571284 650629 720906 836523 841057 1081359 1115364 1301258 1441812 1673046 1682114 1951887 2162718 2523171 2602516 3346092 3364228 3903774 4325436 4926191 5046342 5855661 7569513 7807548 9852382 10092684 11711322 14778573 15139026 19704764 23422644 29557146 30278052 34483337 44335719 59114292 68966674 88671438 103450011 137933348 177342876 206900022 310350033 413800044 620700066 1241400132