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133241240 = 235111747379
BaseRepresentation
bin1111111000100…
…01100110011000
3100021201100121202
413330101212120
5233102204430
621115453332
73205350266
oct774214630
9307640552
10133241240
1169236130
1238757248
13217b1b92
14139a5436
15ba6dd45
hex7f11998

133241240 has 128 divisors (see below), whose sum is σ = 354585600. Its totient is φ = 44513280.

The previous prime is 133241221. The next prime is 133241261. The reversal of 133241240 is 42142331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351371 + ... + 351749.

It is an arithmetic number, because the mean of its divisors is an integer number (2770200).

Almost surely, 2133241240 is an apocalyptic number.

133241240 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 133241240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177292800).

133241240 is an abundant number, since it is smaller than the sum of its proper divisors (221344360).

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

133241240 is a wasteful number, since it uses less digits than its factorization.

133241240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 133241240 is about 11543.0169366592. The cubic root of 133241240 is about 510.7553078553.

Adding to 133241240 its reverse (42142331), we get a palindrome (175383571).

The spelling of 133241240 in words is "one hundred thirty-three million, two hundred forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 47 55 68 85 88 94 110 136 170 187 188 220 235 340 374 376 379 440 470 517 680 748 758 799 935 940 1034 1496 1516 1598 1870 1880 1895 2068 2585 3032 3196 3740 3790 3995 4136 4169 5170 6392 6443 7480 7580 7990 8338 8789 10340 12886 15160 15980 16676 17578 17813 20680 20845 25772 31960 32215 33352 35156 35626 41690 43945 51544 64430 70312 70873 71252 83380 87890 89065 128860 141746 142504 166760 175780 178130 195943 257720 283492 302821 351560 354365 356260 391886 566984 605642 708730 712520 783772 979715 1211284 1417460 1514105 1567544 1959430 2422568 2834920 3028210 3331031 3918860 6056420 6662062 7837720 12112840 13324124 16655155 26648248 33310310 66620620 133241240