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5751000 = 23345371
BaseRepresentation
bin10101111100000011011000
3101211011220000
4111330003120
52433013000
6323133000
766611523
oct25740330
911734800
105751000
1132788a2
121b14160
131264878
14a99bba
15789000
hex57c0d8

5751000 has 160 divisors (see below), whose sum is σ = 20386080. Its totient is φ = 1512000.

The previous prime is 5750993. The next prime is 5751001. The reversal of 5751000 is 1575.

It is a happy number.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5751001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 80965 + ... + 81035.

It is an arithmetic number, because the mean of its divisors is an integer number (127413).

Almost surely, 25751000 is an apocalyptic number.

5751000 is a gapful number since it is divisible by the number (50) 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 5751000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10193040).

5751000 is an abundant number, since it is smaller than the sum of its proper divisors (14635080).

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

5751000 is a wasteful number, since it uses less digits than its factorization.

5751000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 5751000 is about 2398.1242670054. The cubic root of 5751000 is about 179.1627785948.

Adding to 5751000 its reverse (1575), we get a palindrome (5752575).

The spelling of 5751000 in words is "five million, seven hundred fifty-one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 71 72 75 81 90 100 108 120 125 135 142 150 162 180 200 213 216 225 250 270 284 300 324 355 360 375 405 426 450 500 540 568 600 639 648 675 710 750 810 852 900 1000 1065 1080 1125 1278 1350 1420 1500 1620 1704 1775 1800 1917 2025 2130 2250 2556 2700 2840 3000 3195 3240 3375 3550 3834 4050 4260 4500 5112 5325 5400 5751 6390 6750 7100 7668 8100 8520 8875 9000 9585 10125 10650 11502 12780 13500 14200 15336 15975 16200 17750 19170 20250 21300 23004 25560 26625 27000 28755 31950 35500 38340 40500 42600 46008 47925 53250 57510 63900 71000 76680 79875 81000 95850 106500 115020 127800 143775 159750 191700 213000 230040 239625 287550 319500 383400 479250 575100 639000 718875 958500 1150200 1437750 1917000 2875500 5751000