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1239393000 = 233531273253
BaseRepresentation
bin100100111011111…
…1010001011101000
310012101010200120110
41021313322023220
510014241034000
6322552254320
742466444446
oct11167721350
93171120513
101239393000
1158667233a
122a70a13a0
13169a07951
14ba865b96
1573c1c850
hex49dfa2e8

1239393000 has 128 divisors (see below), whose sum is σ = 3898552320. Its totient is φ = 327801600.

The previous prime is 1239392983. The next prime is 1239393013. The reversal of 1239393000 is 3939321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 379374 + ... + 382626.

It is an arithmetic number, because the mean of its divisors is an integer number (30457440).

Almost surely, 21239393000 is an apocalyptic number.

1239393000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1239393000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949276160).

1239393000 is an abundant number, since it is smaller than the sum of its proper divisors (2659159320).

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

1239393000 is a wasteful number, since it uses less digits than its factorization.

1239393000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 30.

The square root of 1239393000 is about 35205.0138474621. The cubic root of 1239393000 is about 1074.1617406021.

The spelling of 1239393000 in words is "one billion, two hundred thirty-nine million, three hundred ninety-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 127 150 200 250 254 300 375 381 500 508 600 635 750 762 1000 1016 1270 1500 1524 1905 2540 3000 3048 3175 3253 3810 5080 6350 6506 7620 9525 9759 12700 13012 15240 15875 16265 19050 19518 25400 26024 31750 32530 38100 39036 47625 48795 63500 65060 76200 78072 81325 95250 97590 127000 130120 162650 190500 195180 243975 325300 381000 390360 406625 413131 487950 650600 813250 826262 975900 1219875 1239393 1626500 1652524 1951800 2065655 2439750 2478786 3253000 3305048 4131310 4879500 4957572 6196965 8262620 9759000 9915144 10328275 12393930 16525240 20656550 24787860 30984825 41313100 49575720 51641375 61969650 82626200 103282750 123939300 154924125 206565500 247878600 309848250 413131000 619696500 1239393000