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5472320 = 26572349
BaseRepresentation
bin10100111000000001000000
3101022000121112
4110320001000
52400103240
6313142452
764341200
oct24700100
911260545
105472320
1130a8487
1219baa28
131197a79
14a26400
15731665
hex538040

5472320 has 84 divisors (see below), whose sum is σ = 15201900. Its totient is φ = 1870848.

The previous prime is 5472319. The next prime is 5472331. The reversal of 5472320 is 232745.

It can be written as a sum of positive squares in 2 ways, for example, as 3013696 + 2458624 = 1736^2 + 1568^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15506 + ... + 15854.

It is an arithmetic number, because the mean of its divisors is an integer number (180975).

Almost surely, 25472320 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 5472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7600950).

5472320 is an abundant number, since it is smaller than the sum of its proper divisors (9729580).

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

5472320 is a wasteful number, since it uses less digits than its factorization.

5472320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 5472320 is about 2339.2990403110. The cubic root of 5472320 is about 176.2207972676.

It can be divided in two parts, 54723 and 20, that multiplied together give a triangular number (1094460 = T1479).

The spelling of 5472320 in words is "five million, four hundred seventy-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 349 392 448 490 560 698 784 980 1120 1396 1568 1745 1960 2240 2443 2792 3136 3490 3920 4886 5584 6980 7840 9772 11168 12215 13960 15680 17101 19544 22336 24430 27920 34202 39088 48860 55840 68404 78176 85505 97720 111680 136808 156352 171010 195440 273616 342020 390880 547232 684040 781760 1094464 1368080 2736160 5472320