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530079920 = 24543223691
BaseRepresentation
bin11111100110000…
…110000010110000
31100221102211221122
4133212012002300
52041200024140
6124333241412
716064414336
oct3746060260
91327384848
10530079920
11252241987
12129633268
1385a87576
1450585b56
153180aab5
hex1f9860b0

530079920 has 80 divisors (see below), whose sum is σ = 1268585472. Its totient is φ = 205873920.

The previous prime is 530079887. The next prime is 530079931. The reversal of 530079920 is 29970035.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 766775 + ... + 767465.

Almost surely, 2530079920 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 530079920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634292736).

530079920 is an abundant number, since it is smaller than the sum of its proper divisors (738505552).

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

530079920 is a wasteful number, since it uses less digits than its factorization.

530079920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 35.

The square root of 530079920 is about 23023.4645524951. The cubic root of 530079920 is about 809.3079085426.

The spelling of 530079920 in words is "five hundred thirty million, seventy-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 223 344 430 446 688 691 860 892 1115 1382 1720 1784 2230 2764 3440 3455 3568 4460 5528 6910 8920 9589 11056 13820 17840 19178 27640 29713 38356 47945 55280 59426 76712 95890 118852 148565 153424 154093 191780 237704 297130 308186 383560 475408 594260 616372 767120 770465 1188520 1232744 1540930 2377040 2465488 3081860 6163720 6625999 12327440 13251998 26503996 33129995 53007992 66259990 106015984 132519980 265039960 530079920