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75054 = 2371787
BaseRepresentation
bin10010010100101110
310210221210
4102110232
54400204
61335250
7431550
oct222456
9123853
1075054
1151431
1237526
1328215
141d4d0
1517389
hex1252e

75054 has 16 divisors (see below), whose sum is σ = 171648. Its totient is φ = 21432.

The previous prime is 75041. The next prime is 75079. The reversal of 75054 is 45057.

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

It is a plaindrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 75054.

It is a congruent number.

It is an unprimeable number.

75054 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 852 + ... + 935.

It is an arithmetic number, because the mean of its divisors is an integer number (10728).

275054 is an apocalyptic number.

75054 is an abundant number, since it is smaller than the sum of its proper divisors (96594).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85824).

75054 is a wasteful number, since it uses less digits than its factorization.

75054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799.

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 75054 is about 273.9598510731. The cubic root of 75054 is about 42.1817520290.

The spelling of 75054 in words is "seventy-five thousand, fifty-four".

Divisors: 1 2 3 6 7 14 21 42 1787 3574 5361 10722 12509 25018 37527 75054