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75320112 = 2437972311
BaseRepresentation
bin1000111110101…
…00101100110000
312020201122202210
410133110230300
5123240220422
611250212120
71603132110
oct437245460
9166648683
1075320112
113957512a
1221284040
13127b221a
14a009040
15692c10c
hex47d4b30

75320112 has 80 divisors (see below), whose sum is σ = 224763392. Its totient is φ = 21288960.

The previous prime is 75320099. The next prime is 75320117. The reversal of 75320112 is 21102357.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (75320117) by changing a digit.

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, 31437 + ... + 33747.

Almost surely, 275320112 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 75320112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112381696).

75320112 is an abundant number, since it is smaller than the sum of its proper divisors (149443280).

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

75320112 is a wasteful number, since it uses less digits than its factorization.

75320112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 75320112 is about 8678.7160340686. The cubic root of 75320112 is about 422.3154653204.

Adding to 75320112 its reverse (21102357), we get a palindrome (96422469).

The spelling of 75320112 in words is "seventy-five million, three hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 97 112 168 194 291 336 388 582 679 776 1164 1358 1552 2037 2311 2328 2716 4074 4622 4656 5432 6933 8148 9244 10864 13866 16177 16296 18488 27732 32354 32592 36976 48531 55464 64708 97062 110928 129416 194124 224167 258832 388248 448334 672501 776496 896668 1345002 1569169 1793336 2690004 3138338 3586672 4707507 5380008 6276676 9415014 10760016 12553352 18830028 25106704 37660056 75320112