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75107412 = 223643599
BaseRepresentation
bin1000111101000…
…00110001010100
312020022212000000
410132200301110
5123211414122
611241451300
71601255022
oct436406124
9166285000
1075107412
113943a346
12211a0b30
1312739473
149d91712
1568d90ac
hex47a0c54

75107412 has 84 divisors (see below), whose sum is σ = 201986400. Its totient is φ = 24412752.

The previous prime is 75107401. The next prime is 75107429. The reversal of 75107412 is 21470157.

It is a super-2 number, since 2×751074122 = 11282246674675488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 125089 + ... + 125687.

It is an arithmetic number, because the mean of its divisors is an integer number (2404600).

Almost surely, 275107412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75107412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100993200).

75107412 is an abundant number, since it is smaller than the sum of its proper divisors (126878988).

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

75107412 is a wasteful number, since it uses less digits than its factorization.

75107412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 75107412 is about 8666.4532537827. The cubic root of 75107412 is about 421.9175583733.

Adding to 75107412 its reverse (21470157), we get a palindrome (96577569).

The spelling of 75107412 in words is "seventy-five million, one hundred seven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 243 258 324 387 486 516 599 729 774 972 1161 1198 1458 1548 1797 2322 2396 2916 3483 3594 4644 5391 6966 7188 10449 10782 13932 16173 20898 21564 25757 31347 32346 41796 48519 51514 62694 64692 77271 97038 103028 125388 145557 154542 194076 231813 291114 309084 436671 463626 582228 695439 873342 927252 1390878 1746684 2086317 2781756 4172634 6258951 8345268 12517902 18776853 25035804 37553706 75107412