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530126080 = 28511231637
BaseRepresentation
bin11111100110010…
…001010100000000
31100221112012021021
4133212101110000
52041203013310
6124334235224
716064666041
oct3746212400
91327465237
10530126080
11252273630
12129655b14
1385aa2593
14505988c8
15318195da
hex1f991500

530126080 has 144 divisors (see below), whose sum is σ = 1446367104. Its totient is φ = 184279040.

The previous prime is 530126029. The next prime is 530126089. The reversal of 530126080 is 80621035.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530126089) 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, 323022 + ... + 324658.

It is an arithmetic number, because the mean of its divisors is an integer number (10044216).

Almost surely, 2530126080 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 530126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723183552).

530126080 is an abundant number, since it is smaller than the sum of its proper divisors (916241024).

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

530126080 is a wasteful number, since it uses less digits than its factorization.

530126080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 530126080 is about 23024.4669862301. The cubic root of 530126080 is about 809.3313996976.

The spelling of 530126080 in words is "five hundred thirty million, one hundred twenty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 64 80 88 92 110 115 128 160 176 184 220 230 253 256 320 352 368 440 460 506 640 704 736 880 920 1012 1265 1280 1408 1472 1637 1760 1840 2024 2530 2816 2944 3274 3520 3680 4048 5060 5888 6548 7040 7360 8096 8185 10120 13096 14080 14720 16192 16370 18007 20240 26192 29440 32384 32740 36014 37651 40480 52384 64768 65480 72028 75302 80960 90035 104768 130960 144056 150604 161920 180070 188255 209536 261920 288112 301208 323840 360140 376510 414161 419072 523840 576224 602416 720280 753020 828322 1047680 1152448 1204832 1440560 1506040 1656644 2070805 2095360 2304896 2409664 2881120 3012080 3313288 4141610 4609792 4819328 5762240 6024160 6626576 8283220 9638656 11524480 12048320 13253152 16566440 23048960 24096640 26506304 33132880 48193280 53012608 66265760 106025216 132531520 265063040 530126080