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5745000 = 23354383
BaseRepresentation
bin10101111010100101101000
3101210212122210
4111322211220
52432320000
6323045120
766555162
oct25724550
911725583
105745000
113274338
121b107a0
131261c11
14a97932
15787350
hex57a968

5745000 has 80 divisors (see below), whose sum is σ = 17994240. Its totient is φ = 1528000.

The previous prime is 5744983. The next prime is 5745017. The reversal of 5745000 is 5475.

It is an interprime number because it is at equal distance from previous prime (5744983) and next prime (5745017).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14809 + ... + 15191.

It is an arithmetic number, because the mean of its divisors is an integer number (224928).

Almost surely, 25745000 is an apocalyptic number.

5745000 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 5745000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8997120).

5745000 is an abundant number, since it is smaller than the sum of its proper divisors (12249240).

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

5745000 is a wasteful number, since it uses less digits than its factorization.

5745000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 5745000 is about 2396.8729628414. The cubic root of 5745000 is about 179.1004502618.

The spelling of 5745000 in words is "five million, seven hundred forty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 383 500 600 625 750 766 1000 1149 1250 1500 1532 1875 1915 2298 2500 3000 3064 3750 3830 4596 5000 5745 7500 7660 9192 9575 11490 15000 15320 19150 22980 28725 38300 45960 47875 57450 76600 95750 114900 143625 191500 229800 239375 287250 383000 478750 574500 718125 957500 1149000 1436250 1915000 2872500 5745000