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1375127250 = 235371032543
BaseRepresentation
bin101000111110110…
…1100011011010010
310112211112200221220
41101331230123102
510304013033000
6344241425510
746035250230
oct12175543322
93484480856
101375127250
11646250502
1232463b296
1318bb80483
14d08b9950
1580ad01a0
hex51f6c6d2

1375127250 has 128 divisors (see below), whose sum is σ = 3962290176. Its totient is φ = 311140800.

The previous prime is 1375127239. The next prime is 1375127251. The reversal of 1375127250 is 527215731.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1375127251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 539479 + ... + 542021.

It is an arithmetic number, because the mean of its divisors is an integer number (30955392).

Almost surely, 21375127250 is an apocalyptic number.

1375127250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1375127250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981145088).

1375127250 is an abundant number, since it is smaller than the sum of its proper divisors (2587162926).

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

1375127250 is a wasteful number, since it uses less digits than its factorization.

1375127250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2673 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 33.

The square root of 1375127250 is about 37082.7082344319. The cubic root of 1375127250 is about 1112.0243474346.

The spelling of 1375127250 in words is "one billion, three hundred seventy-five million, one hundred twenty-seven thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 103 105 125 150 175 206 210 250 309 350 375 515 525 618 721 750 875 1030 1050 1442 1545 1750 2163 2543 2575 2625 3090 3605 4326 5086 5150 5250 7210 7629 7725 10815 12715 12875 15258 15450 17801 18025 21630 25430 25750 35602 36050 38145 38625 53403 54075 63575 76290 77250 89005 90125 106806 108150 127150 178010 180250 190725 261929 267015 270375 317875 381450 445025 523858 534030 540750 635750 785787 890050 953625 1309645 1335075 1571574 1833503 1907250 2225125 2619290 2670150 3667006 3928935 4450250 5500509 6548225 6675375 7857870 9167515 11001018 13096450 13350750 18335030 19644675 27502545 32741125 39289350 45837575 55005090 65482250 91675150 98223375 137512725 196446750 229187875 275025450 458375750 687563625 1375127250