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75334140 = 223257173517
BaseRepresentation
bin1000111110110…
…00000111111100
312020202101000100
410133120013330
5123241143030
611250401100
71603221030
oct437300774
9166671010
1075334140
1139584722
1221290190
13127b871b
14a0101c0
156931360
hex47d81fc

75334140 has 144 divisors (see below), whose sum is σ = 276599232. Its totient is φ = 16201728.

The previous prime is 75334121. The next prime is 75334169. The reversal of 75334140 is 4143357.

It is a congruent number.

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, 19662 + ... + 23178.

It is an arithmetic number, because the mean of its divisors is an integer number (1920828).

Almost surely, 275334140 is an apocalyptic number.

75334140 is a gapful number since it is divisible by the number (70) 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 75334140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138299616).

75334140 is an abundant number, since it is smaller than the sum of its proper divisors (201265092).

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

75334140 is a wasteful number, since it uses less digits than its factorization.

75334140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3556 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 75334140 is about 8679.5241805067. The cubic root of 75334140 is about 422.3416817516.

Adding to 75334140 its reverse (4143357), we get a palindrome (79477497).

The spelling of 75334140 in words is "seventy-five million, three hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 119 126 140 153 170 180 204 210 238 252 255 306 315 340 357 420 476 510 595 612 630 714 765 1020 1071 1190 1260 1428 1530 1785 2142 2380 3060 3517 3570 4284 5355 7034 7140 10551 10710 14068 17585 21102 21420 24619 31653 35170 42204 49238 52755 59789 63306 70340 73857 98476 105510 119578 123095 126612 147714 158265 179367 211020 221571 239156 246190 295428 298945 316530 358734 369285 418523 443142 492380 538101 597890 633060 717468 738570 837046 886284 896835 1076202 1107855 1195780 1255569 1477140 1674092 1793670 2092615 2152404 2215710 2511138 2690505 3587340 3766707 4185230 4431420 5022276 5381010 6277845 7533414 8370460 10762020 12555690 15066828 18833535 25111380 37667070 75334140