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5719000 = 235371943
BaseRepresentation
bin10101110100001111011000
3101202112222211
4111310033120
52431002000
6322324504
766416320
oct25641730
911675884
105719000
113256851
121ab9734
131253131
14a8c280
1577e7ba
hex5743d8

5719000 has 128 divisors (see below), whose sum is σ = 16473600. Its totient is φ = 1814400.

The previous prime is 5718991. The next prime is 5719001. The reversal of 5719000 is 9175.

5719000 = T24 + T25 + ... + T324.

5719000 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×57190002 = 65413922000000, which contains 22 as substring.

5719000 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5719001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132979 + ... + 133021.

It is an arithmetic number, because the mean of its divisors is an integer number (128700).

Almost surely, 25719000 is an apocalyptic number.

5719000 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 5719000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8236800).

5719000 is an abundant number, since it is smaller than the sum of its proper divisors (10754600).

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

5719000 is a wasteful number, since it uses less digits than its factorization.

5719000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 22.

The square root of 5719000 is about 2391.4430789797. The cubic root of 5719000 is about 178.8298581996.

The spelling of 5719000 in words is "five million, seven hundred nineteen thousand".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 43 50 56 70 76 86 95 100 125 133 140 152 172 175 190 200 215 250 266 280 301 344 350 380 430 475 500 532 602 665 700 760 817 860 875 950 1000 1064 1075 1204 1330 1400 1505 1634 1720 1750 1900 2150 2375 2408 2660 3010 3268 3325 3500 3800 4085 4300 4750 5320 5375 5719 6020 6536 6650 7000 7525 8170 8600 9500 10750 11438 12040 13300 15050 16340 16625 19000 20425 21500 22876 26600 28595 30100 32680 33250 37625 40850 43000 45752 57190 60200 66500 75250 81700 102125 114380 133000 142975 150500 163400 204250 228760 285950 301000 408500 571900 714875 817000 1143800 1429750 2859500 5719000