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5424320 = 265112367
BaseRepresentation
bin10100101100010011000000
3101012120202202
4110230103000
52342034240
6312132332
764051226
oct24542300
911176682
105424320
113075410
1219970a8
13117bc75
14a12b16
15722315
hex52c4c0

5424320 has 112 divisors (see below), whose sum is σ = 14923008. Its totient is φ = 1858560.

The previous prime is 5424319. The next prime is 5424359. The reversal of 5424320 is 234245.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 5424292 and 5424301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80927 + ... + 80993.

Almost surely, 25424320 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 5424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7461504).

5424320 is an abundant number, since it is smaller than the sum of its proper divisors (9498688).

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

5424320 is a wasteful number, since it uses less digits than its factorization.

5424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 5424320 is about 2329.0169600069. The cubic root of 5424320 is about 175.7040480770.

5424320 divided by its sum of digits (20) gives a triangular number (271216 = T736).

Adding to 5424320 its reverse (234245), we get a palindrome (5658565).

The spelling of 5424320 in words is "five million, four hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 64 67 80 88 92 110 115 134 160 176 184 220 230 253 268 320 335 352 368 440 460 506 536 670 704 736 737 880 920 1012 1072 1265 1340 1472 1474 1541 1760 1840 2024 2144 2530 2680 2948 3082 3520 3680 3685 4048 4288 5060 5360 5896 6164 7360 7370 7705 8096 10120 10720 11792 12328 14740 15410 16192 16951 20240 21440 23584 24656 29480 30820 33902 40480 47168 49312 58960 61640 67804 80960 84755 98624 117920 123280 135608 169510 235840 246560 271216 339020 493120 542432 678040 1084864 1356080 2712160 5424320