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1141482132 = 223472691871
BaseRepresentation
bin100010000001001…
…1010001010010100
32221112220022010000
41010002122022110
54314204412012
6305133531300
740200303150
oct10402321224
92845808100
101141482132
1153637846a
1227a343b30
1315264601b
14ab85a060
156a32bddc
hex4409a294

1141482132 has 120 divisors (see below), whose sum is σ = 3424861440. Its totient is φ = 324751680.

The previous prime is 1141482131. The next prime is 1141482161. The reversal of 1141482132 is 2312841411.

1141482132 is a `hidden beast` number, since 11 + 41 + 482 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1141482096 and 1141482105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141482131) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 609157 + ... + 611027.

It is an arithmetic number, because the mean of its divisors is an integer number (28540512).

Almost surely, 21141482132 is an apocalyptic number.

1141482132 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 1141482132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712430720).

1141482132 is an abundant number, since it is smaller than the sum of its proper divisors (2283379308).

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

1141482132 is a wasteful number, since it uses less digits than its factorization.

1141482132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163 (or 2152 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 1141482132 is about 33785.8273836826. The cubic root of 1141482132 is about 1045.0964501226.

The spelling of 1141482132 in words is "one billion, one hundred forty-one million, four hundred eighty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 269 324 378 538 567 756 807 1076 1134 1614 1871 1883 2268 2421 3228 3742 3766 4842 5613 5649 7263 7484 7532 9684 11226 11298 13097 14526 16839 16947 21789 22452 22596 26194 29052 33678 33894 39291 43578 50517 50841 52388 67356 67788 78582 87156 101034 101682 117873 151551 152523 157164 202068 203364 235746 303102 305046 353619 471492 503299 606204 610092 707238 1006598 1060857 1414476 1509897 2013196 2121714 3019794 3523093 4243428 4529691 6039588 7046186 9059382 10569279 13589073 14092372 18118764 21138558 27178146 31707837 40767219 42277116 54356292 63415674 81534438 95123511 126831348 163068876 190247022 285370533 380494044 570741066 1141482132