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5404320 = 25355139
BaseRepresentation
bin10100100111011010100000
3101011120100000
4110213122200
52340414240
6311500000
763636015
oct24473240
911146300
105404320
113061389
121987600
131172b2c
14a0970c
1571b430
hex5276a0

5404320 has 144 divisors (see below), whose sum is σ = 19262880. Its totient is φ = 1430784.

The previous prime is 5404319. The next prime is 5404327. The reversal of 5404320 is 234045.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 5404293 and 5404302.

It is not an unprimeable number, because it can be changed into a prime (5404327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38811 + ... + 38949.

It is an arithmetic number, because the mean of its divisors is an integer number (133770).

Almost surely, 25404320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5404320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9631440).

5404320 is an abundant number, since it is smaller than the sum of its proper divisors (13858560).

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

5404320 is a wasteful number, since it uses less digits than its factorization.

5404320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 5404320 is about 2324.7193378987. The cubic root of 5404320 is about 175.4878361063.

Adding to 5404320 its reverse (234045), we get a palindrome (5638365).

The spelling of 5404320 in words is "five million, four hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 139 144 160 162 180 216 240 243 270 278 288 324 360 405 417 432 480 486 540 556 648 695 720 810 834 864 972 1080 1112 1215 1251 1296 1390 1440 1620 1668 1944 2085 2160 2224 2430 2502 2592 2780 3240 3336 3753 3888 4170 4320 4448 4860 5004 5560 6255 6480 6672 7506 7776 8340 9720 10008 11120 11259 12510 12960 13344 15012 16680 18765 19440 20016 22240 22518 25020 30024 33360 33777 37530 38880 40032 45036 50040 56295 60048 66720 67554 75060 90072 100080 112590 120096 135108 150120 168885 180144 200160 225180 270216 300240 337770 360288 450360 540432 600480 675540 900720 1080864 1351080 1801440 2702160 5404320