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5130720 = 253257509
BaseRepresentation
bin10011100100100111100000
3100122200000200
4103210213200
52303140340
6301545200
761416240
oct23444740
910580020
105130720
112994871
121875200
1310a843a
14977b20
156b5330
hex4e49e0

5130720 has 144 divisors (see below), whose sum is σ = 20049120. Its totient is φ = 1170432.

The previous prime is 5130707. The next prime is 5130721. The reversal of 5130720 is 270315.

5130720 = T169 + T170 + ... + T328.

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 = 5130693 and 5130702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5130721) 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, 9826 + ... + 10334.

It is an arithmetic number, because the mean of its divisors is an integer number (139230).

Almost surely, 25130720 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 5130720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10024560).

5130720 is an abundant number, since it is smaller than the sum of its proper divisors (14918400).

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

5130720 is a wasteful number, since it uses less digits than its factorization.

5130720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 5130720 is about 2265.1092688875. The cubic root of 5130720 is about 172.4749806184.

The spelling of 5130720 in words is "five million, one hundred thirty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 509 560 630 672 720 840 1008 1018 1120 1260 1440 1527 1680 2016 2036 2520 2545 3054 3360 3563 4072 4581 5040 5090 6108 7126 7635 8144 9162 10080 10180 10689 12216 14252 15270 16288 17815 18324 20360 21378 22905 24432 28504 30540 32067 35630 36648 40720 42756 45810 48864 53445 57008 61080 64134 71260 73296 81440 85512 91620 106890 114016 122160 128268 142520 146592 160335 171024 183240 213780 244320 256536 285040 320670 342048 366480 427560 513072 570080 641340 732960 855120 1026144 1282680 1710240 2565360 5130720