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5290320 = 243574767
BaseRepresentation
bin10100001011100101010000
3100221202221210
4110023211100
52323242240
6305220120
762652450
oct24134520
910852853
105290320
112a93772
121931640
131132c89
149b9d60
156e7780
hex50b950

5290320 has 160 divisors (see below), whose sum is σ = 19427328. Its totient is φ = 1165824.

The previous prime is 5290309. The next prime is 5290331. The reversal of 5290320 is 230925.

It is an interprime number because it is at equal distance from previous prime (5290309) and next prime (5290331).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78927 + ... + 78993.

Almost surely, 25290320 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 5290320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9713664).

5290320 is an abundant number, since it is smaller than the sum of its proper divisors (14137008).

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

5290320 is a wasteful number, since it uses less digits than its factorization.

5290320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 5290320 is about 2300.0695641654. The cubic root of 5290320 is about 174.2451294656.

The spelling of 5290320 in words is "five million, two hundred ninety thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 47 48 56 60 67 70 80 84 94 105 112 120 134 140 141 168 188 201 210 235 240 268 280 282 329 335 336 376 402 420 469 470 536 560 564 658 670 705 752 804 840 938 940 987 1005 1072 1128 1316 1340 1407 1410 1608 1645 1680 1876 1880 1974 2010 2256 2345 2632 2680 2814 2820 3149 3216 3290 3752 3760 3948 4020 4690 4935 5264 5360 5628 5640 6298 6580 7035 7504 7896 8040 9380 9447 9870 11256 11280 12596 13160 14070 15745 15792 16080 18760 18894 19740 22043 22512 25192 26320 28140 31490 37520 37788 39480 44086 47235 50384 56280 62980 66129 75576 78960 88172 94470 110215 112560 125960 132258 151152 176344 188940 220430 251920 264516 330645 352688 377880 440860 529032 661290 755760 881720 1058064 1322580 1763440 2645160 5290320