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530131440 = 24355371587
BaseRepresentation
bin11111100110010…
…010100111110000
31100221112110121210
4133212102213300
52041203201230
6124334320120
716065020466
oct3746224760
91327473553
10530131440
11252277663
12129659040
1385aa4b57
145059a836
153181aeb0
hex1f9929f0

530131440 has 160 divisors (see below), whose sum is σ = 1700891136. Its totient is φ = 136514560.

The previous prime is 530131373. The next prime is 530131447. The reversal of 530131440 is 44131035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530131447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 902827 + ... + 903413.

Almost surely, 2530131440 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 530131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850445568).

530131440 is an abundant number, since it is smaller than the sum of its proper divisors (1170759696).

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

530131440 is a wasteful number, since it uses less digits than its factorization.

530131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 530131440 is about 23024.5833838530. The cubic root of 530131440 is about 809.3341273517.

Adding to 530131440 its reverse (44131035), we get a palindrome (574262475).

The spelling of 530131440 in words is "five hundred thirty million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 71 80 106 120 142 159 212 213 240 265 284 318 355 424 426 530 568 587 636 710 795 848 852 1060 1065 1136 1174 1272 1420 1590 1704 1761 2120 2130 2348 2544 2840 2935 3180 3408 3522 3763 4240 4260 4696 5680 5870 6360 7044 7526 8520 8805 9392 11289 11740 12720 14088 15052 17040 17610 18815 22578 23480 28176 30104 31111 35220 37630 41677 45156 46960 56445 60208 62222 70440 75260 83354 90312 93333 112890 124444 125031 140880 150520 155555 166708 180624 186666 208385 225780 248888 250062 301040 311110 333416 373332 416770 451560 466665 497776 500124 622220 625155 666832 746664 833540 903120 933330 1000248 1244440 1250310 1493328 1667080 1866660 2000496 2208881 2488880 2500620 3334160 3733320 4417762 5001240 6626643 7466640 8835524 10002480 11044405 13253286 17671048 22088810 26506572 33133215 35342096 44177620 53013144 66266430 88355240 106026288 132532860 176710480 265065720 530131440