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133110540 = 2235561449
BaseRepresentation
bin1111110111100…
…01101100001100
3100021110201100000
413323301230030
5233034014130
621113004300
73204264243
oct773615414
9307421300
10133110540
1169156a12
12386b3690
1321767544
141396d95a
15ba45260
hex7ef1b0c

133110540 has 144 divisors (see below), whose sum is σ = 426535200. Its totient is φ = 34836480.

The previous prime is 133110539. The next prime is 133110547. The reversal of 133110540 is 45011331.

133110540 is a `hidden beast` number, since 13 + 3 + 110 + 540 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (133110547) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296236 + ... + 296684.

It is an arithmetic number, because the mean of its divisors is an integer number (2962050).

Almost surely, 2133110540 is an apocalyptic number.

133110540 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 133110540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213267600).

133110540 is an abundant number, since it is smaller than the sum of its proper divisors (293424660).

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

133110540 is a wasteful number, since it uses less digits than its factorization.

133110540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 133110540 is about 11537.3541160874. The cubic root of 133110540 is about 510.5882485721.

Adding to 133110540 its reverse (45011331), we get a palindrome (178121871).

The spelling of 133110540 in words is "one hundred thirty-three million, one hundred ten thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 61 81 90 108 122 135 162 180 183 243 244 270 305 324 366 405 449 486 540 549 610 732 810 898 915 972 1098 1215 1220 1347 1620 1647 1796 1830 2196 2245 2430 2694 2745 3294 3660 4041 4490 4860 4941 5388 5490 6588 6735 8082 8235 8980 9882 10980 12123 13470 14823 16164 16470 19764 20205 24246 24705 26940 27389 29646 32940 36369 40410 48492 49410 54778 59292 60615 72738 74115 80820 82167 98820 109107 109556 121230 136945 145476 148230 164334 181845 218214 242460 246501 273890 296460 328668 363690 410835 436428 493002 545535 547780 727380 739503 821670 986004 1091070 1232505 1479006 1643340 2182140 2218509 2465010 2958012 3697515 4437018 4930020 6655527 7395030 8874036 11092545 13311054 14790060 22185090 26622108 33277635 44370180 66555270 133110540