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530860032 = 2113283347
BaseRepresentation
bin11111101001000…
…100100000000000
31100222220111001200
4133221010200000
52041400010112
6124402101200
716104143613
oct3751044000
91328814050
10530860032
11252724aaa
1212994a800
1385c9b681
145070a17a
1531911cdc
hex1fa44800

530860032 has 144 divisors (see below), whose sum is σ = 1556165520. Its totient is φ = 174317568.

The previous prime is 530860021. The next prime is 530860049. The reversal of 530860032 is 230068035.

530860032 is a `hidden beast` number, since 53 + 0 + 8 + 600 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 530859978 and 530860005.

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, 1529683 + ... + 1530029.

It is an arithmetic number, because the mean of its divisors is an integer number (10806705).

Almost surely, 2530860032 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 530860032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778082760).

530860032 is an abundant number, since it is smaller than the sum of its proper divisors (1025305488).

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

530860032 is a wasteful number, since it uses less digits than its factorization.

530860032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 530860032 is about 23040.3999965278. The cubic root of 530860032 is about 809.7047300553.

The spelling of 530860032 in words is "five hundred thirty million, eight hundred sixty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 128 144 166 192 249 256 288 332 347 384 498 512 576 664 694 747 768 996 1024 1041 1152 1328 1388 1494 1536 1992 2048 2082 2304 2656 2776 2988 3072 3123 3984 4164 4608 5312 5552 5976 6144 6246 7968 8328 9216 10624 11104 11952 12492 15936 16656 18432 21248 22208 23904 24984 28801 31872 33312 42496 44416 47808 49968 57602 63744 66624 84992 86403 88832 95616 99936 115204 127488 133248 169984 172806 177664 191232 199872 230408 254976 259209 266496 345612 355328 382464 399744 460816 509952 518418 532992 691224 710656 764928 799488 921632 1036836 1065984 1382448 1529856 1598976 1843264 2073672 2131968 2764896 3197952 3686528 4147344 5529792 6395904 7373056 8294688 11059584 14746112 16589376 22119168 29492224 33178752 44238336 58984448 66357504 88476672 132715008 176953344 265430016 530860032