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1134060138 = 232293771827
BaseRepresentation
bin100001110011000…
…0110001001101010
32221000221020001100
41003212012021222
54310304411023
6304310502230
740050231531
oct10346061152
92830836040
101134060138
11532169192
12277964976
13150c47a03
14aa887318
1569862c43
hex4398626a

1134060138 has 96 divisors (see below), whose sum is σ = 2650527360. Its totient is φ = 349695360.

The previous prime is 1134060127. The next prime is 1134060139. The reversal of 1134060138 is 8310604311.

1134060138 is a `hidden beast` number, since 1 + 13 + 40 + 601 + 3 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1134060139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1370881 + ... + 1371707.

It is an arithmetic number, because the mean of its divisors is an integer number (27609660).

Almost surely, 21134060138 is an apocalyptic number.

1134060138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1134060138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325263680).

1134060138 is an abundant number, since it is smaller than the sum of its proper divisors (1516467222).

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

1134060138 is a wasteful number, since it uses less digits than its factorization.

1134060138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1134060138 is about 33675.8093889367. The cubic root of 1134060138 is about 1042.8264271163.

Adding to 1134060138 its reverse (8310604311), we get a palindrome (9444664449).

The spelling of 1134060138 in words is "one billion, one hundred thirty-four million, sixty thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 29 37 58 71 74 87 111 142 174 213 222 261 333 426 522 639 666 827 1073 1278 1654 2059 2146 2481 2627 3219 4118 4962 5254 6177 6438 7443 7881 9657 12354 14886 15762 18531 19314 23643 23983 30599 37062 47286 47966 58717 61198 71949 76183 91797 117434 143898 152366 176151 183594 215847 228549 275391 352302 431694 457098 528453 550782 685647 887371 1056906 1371294 1702793 1774742 2172529 2662113 3405586 4345058 5108379 5324226 6517587 7986339 10216758 13035174 15325137 15972678 19552761 30650274 39105522 63003341 126006682 189010023 378020046 567030069 1134060138