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75133240 = 23571320641
BaseRepresentation
bin1000111101001…
…11000100111000
312020101011102121
410132213010320
5123213230430
611242211024
71601423230
oct436470470
9166334377
1075133240
1139457796
12211b3a74
1312748150
149d9acc0
1568e1a7a
hex47a7138

75133240 has 64 divisors (see below), whose sum is σ = 208071360. Its totient is φ = 23777280.

The previous prime is 75133237. The next prime is 75133259. The reversal of 75133240 is 4233157.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6681 + ... + 13960.

It is an arithmetic number, because the mean of its divisors is an integer number (3251115).

Almost surely, 275133240 is an apocalyptic number.

75133240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

75133240 is an abundant number, since it is smaller than the sum of its proper divisors (132938120).

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

75133240 is a wasteful number, since it uses less digits than its factorization.

75133240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20672 (or 20668 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 75133240 is about 8667.9432393158. The cubic root of 75133240 is about 421.9659159522.

Adding to 75133240 its reverse (4233157), we get a palindrome (79366397).

The spelling of 75133240 in words is "seventy-five million, one hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 20641 41282 82564 103205 144487 165128 206410 268333 288974 412820 536666 577948 722435 825640 1073332 1155896 1341665 1444870 1878331 2146664 2683330 2889740 3756662 5366660 5779480 7513324 9391655 10733320 15026648 18783310 37566620 75133240