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275030144 = 275371571
BaseRepresentation
bin10000011001001…
…010000010000000
3201011111222102122
4100121022002000
51030401431034
643142503412
76546501104
oct2031120200
9634458378
10275030144
1113127a244
1278134b68
1344c9753c
1428753904
151922a62e
hex1064a080

275030144 has 64 divisors (see below), whose sum is σ = 567103680. Its totient is φ = 132787200.

The previous prime is 275030141. The next prime is 275030179. The reversal of 275030144 is 441030572.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (275030141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 481379 + ... + 481949.

It is an arithmetic number, because the mean of its divisors is an integer number (8860995).

Almost surely, 2275030144 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 275030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283551840).

275030144 is an abundant number, since it is smaller than the sum of its proper divisors (292073536).

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

275030144 is an equidigital number, since it uses as much as digits as its factorization.

275030144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 275030144 is about 16584.0328026690. The cubic root of 275030144 is about 650.3194831810.

The spelling of 275030144 in words is "two hundred seventy-five million, thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 53 64 71 106 128 142 212 284 424 568 571 848 1136 1142 1696 2272 2284 3392 3763 4544 4568 6784 7526 9088 9136 15052 18272 30104 30263 36544 40541 60208 60526 73088 81082 120416 121052 162164 240832 242104 324328 481664 484208 648656 968416 1297312 1936832 2148673 2594624 3873664 4297346 5189248 8594692 17189384 34378768 68757536 137515072 275030144