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75146000 = 245337573
BaseRepresentation
bin1000111101010…
…10001100010000
312020101210221012
410132222030100
5123214133000
611242350052
71601505356
oct436521420
9166353835
1075146000
1139466336
12211bb328
1312750bb7
149da17d6
1568e5735
hex47aa310

75146000 has 40 divisors (see below), whose sum is σ = 181707864. Its totient is φ = 30057600.

The previous prime is 75145921. The next prime is 75146011. The reversal of 75146000 is 64157.

It can be written as a sum of positive squares in 4 ways, for example, as 565504 + 74580496 = 752^2 + 8636^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 16787 + ... + 20786.

Almost surely, 275146000 is an apocalyptic number.

It is an amenable number.

75146000 is an abundant number, since it is smaller than the sum of its proper divisors (106561864).

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

75146000 is a wasteful number, since it uses less digits than its factorization.

75146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37596 (or 37580 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 75146000 is about 8668.6792534965. The cubic root of 75146000 is about 421.9898023187.

The spelling of 75146000 in words is "seventy-five million, one hundred forty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 37573 75146 150292 187865 300584 375730 601168 751460 939325 1502920 1878650 3005840 3757300 4696625 7514600 9393250 15029200 18786500 37573000 75146000