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5358080 = 29571323
BaseRepresentation
bin10100011100001000000000
3101002012220102
4110130020000
52332424310
6310501532
763354140
oct24341000
911065812
105358080
11302a672
1219648a8
131157a80
149d6920
1570c8a5
hex51c200

5358080 has 160 divisors (see below), whose sum is σ = 16498944. Its totient is φ = 1622016.

The previous prime is 5358061. The next prime is 5358083. The reversal of 5358080 is 808535.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5358083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232949 + ... + 232971.

Almost surely, 25358080 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 5358080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8249472).

5358080 is an abundant number, since it is smaller than the sum of its proper divisors (11140864).

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

5358080 is a wasteful number, since it uses less digits than its factorization.

5358080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 5358080 is about 2314.7526865737. The cubic root of 5358080 is about 174.9859036265.

The spelling of 5358080 in words is "five million, three hundred fifty-eight thousand, eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 23 26 28 32 35 40 46 52 56 64 65 70 80 91 92 104 112 115 128 130 140 160 161 182 184 208 224 230 256 260 280 299 320 322 364 368 416 448 455 460 512 520 560 598 640 644 728 736 805 832 896 910 920 1040 1120 1196 1280 1288 1456 1472 1495 1610 1664 1792 1820 1840 2080 2093 2240 2392 2560 2576 2912 2944 2990 3220 3328 3584 3640 3680 4160 4186 4480 4784 5152 5824 5888 5980 6440 6656 7280 7360 8320 8372 8960 9568 10304 10465 11648 11776 11960 12880 14560 14720 16640 16744 17920 19136 20608 20930 23296 23920 25760 29120 29440 33280 33488 38272 41216 41860 46592 47840 51520 58240 58880 66976 76544 82432 83720 95680 103040 116480 133952 153088 167440 191360 206080 232960 267904 334880 382720 412160 535808 669760 765440 1071616 1339520 2679040 5358080