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530109440 = 2105722113
BaseRepresentation
bin11111100110001…
…101010000000000
31100221111100102222
4133212031100000
52041202000230
6124334030212
716064566400
oct3746152000
91327440388
10530109440
11252262083
12129648368
1385a97b33
1450592800
15318146e5
hex1f98d400

530109440 has 132 divisors (see below), whose sum is σ = 1479956436. Its totient is φ = 181665792.

The previous prime is 530109439. The next prime is 530109457. The reversal of 530109440 is 44901035.

It can be written as a sum of positive squares in 2 ways, for example, as 58003456 + 472105984 = 7616^2 + 21728^2 .

It is a super-2 number, since 2×5301094402 = 562032036754227200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 249824 + ... + 251936.

Almost surely, 2530109440 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 530109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739978218).

530109440 is an abundant number, since it is smaller than the sum of its proper divisors (949846996).

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

530109440 is a wasteful number, since it uses less digits than its factorization.

530109440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 530109440 is about 23024.1056286667. The cubic root of 530109440 is about 809.3229316395.

The spelling of 530109440 in words is "five hundred thirty million, one hundred nine thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 448 490 512 560 640 784 896 980 1024 1120 1280 1568 1792 1960 2113 2240 2560 3136 3584 3920 4226 4480 5120 6272 7168 7840 8452 8960 10565 12544 14791 15680 16904 17920 21130 25088 29582 31360 33808 35840 42260 50176 59164 62720 67616 73955 84520 103537 118328 125440 135232 147910 169040 207074 236656 250880 270464 295820 338080 414148 473312 517685 540928 591640 676160 828296 946624 1035370 1081856 1183280 1352320 1656592 1893248 2070740 2163712 2366560 2704640 3313184 3786496 4141480 4733120 5409280 6626368 7572992 8282960 9466240 10818560 13252736 15145984 16565920 18932480 26505472 33131840 37864960 53010944 66263680 75729920 106021888 132527360 265054720 530109440