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5740000 = 2554741
BaseRepresentation
bin10101111001010111100000
3101210121210121
4111321113200
52432140000
6323010024
766534460
oct25712740
911717717
105740000
113270602
121b09914
13125c866
14a95ba0
15785b1a
hex5795e0

5740000 has 120 divisors (see below), whose sum is σ = 16532208. Its totient is φ = 1920000.

The previous prime is 5739983. The next prime is 5740001. The reversal of 5740000 is 475.

5740000 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5740001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 139980 + ... + 140020.

Almost surely, 25740000 is an apocalyptic number.

5740000 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 5740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8266104).

5740000 is an abundant number, since it is smaller than the sum of its proper divisors (10792208).

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

5740000 is an equidigital number, since it uses as much as digits as its factorization.

5740000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 5740000 is about 2395.8297101422. The cubic root of 5740000 is about 179.0484768259.

Adding to 5740000 its reverse (475), we get a palindrome (5740475).

The spelling of 5740000 in words is "five million, seven hundred forty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 41 50 56 70 80 82 100 112 125 140 160 164 175 200 205 224 250 280 287 328 350 400 410 500 560 574 625 656 700 800 820 875 1000 1025 1120 1148 1250 1312 1400 1435 1640 1750 2000 2050 2296 2500 2800 2870 3280 3500 4000 4100 4375 4592 5000 5125 5600 5740 6560 7000 7175 8200 8750 9184 10000 10250 11480 14000 14350 16400 17500 20000 20500 22960 25625 28000 28700 32800 35000 35875 41000 45920 51250 57400 70000 71750 82000 102500 114800 140000 143500 164000 179375 205000 229600 287000 358750 410000 574000 717500 820000 1148000 1435000 2870000 5740000