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5920000 = 285437
BaseRepresentation
bin10110100101010100000000
3102010202201021
4112211110000
53003420000
6330515224
7101214322
oct26452400
912122637
105920000
113383869
121b95b14
1312c3778
14b01612
157be11a
hex5a5500

5920000 has 90 divisors (see below), whose sum is σ = 15165458. Its totient is φ = 2304000.

The previous prime is 5919971. The next prime is 5920003. The reversal of 5920000 is 295.

It can be written as a sum of positive squares in 5 ways, for example, as 1115136 + 4804864 = 1056^2 + 2192^2 .

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

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5920003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 159982 + ... + 160018.

Almost surely, 25920000 is an apocalyptic number.

5920000 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 5920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7582729).

5920000 is an abundant number, since it is smaller than the sum of its proper divisors (9245458).

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

5920000 is an frugal number, since it uses more digits than its factorization.

5920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 5920000 is about 2433.1050121193. The cubic root of 5920000 is about 180.9008339302.

Adding to 5920000 its reverse (295), we get a palindrome (5920295).

The spelling of 5920000 in words is "five million, nine hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 64 74 80 100 125 128 148 160 185 200 250 256 296 320 370 400 500 592 625 640 740 800 925 1000 1184 1250 1280 1480 1600 1850 2000 2368 2500 2960 3200 3700 4000 4625 4736 5000 5920 6400 7400 8000 9250 9472 10000 11840 14800 16000 18500 20000 23125 23680 29600 32000 37000 40000 46250 47360 59200 74000 80000 92500 118400 148000 160000 185000 236800 296000 370000 592000 740000 1184000 1480000 2960000 5920000