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530859120 = 243511211953
BaseRepresentation
bin11111101001000…
…100010001110000
31100222220102210220
4133221010101300
52041344442440
6124402053040
716104141141
oct3751042160
91328812726
10530859120
11252724350
1212994a180
1385c9b12c
1450709ac8
15319118d0
hex1fa44470

530859120 has 160 divisors (see below), whose sum is σ = 1805670144. Its totient is φ = 127948800.

The previous prime is 530859089. The next prime is 530859127. The reversal of 530859120 is 21958035.

It is a super-2 number, since 2×5308591202 = 563622810574348800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530859127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 556564 + ... + 557516.

Almost surely, 2530859120 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 530859120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902835072).

530859120 is an abundant number, since it is smaller than the sum of its proper divisors (1274811024).

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

530859120 is a wasteful number, since it uses less digits than its factorization.

530859120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 530859120 is about 23040.3802051963. The cubic root of 530859120 is about 809.7042663730.

The spelling of 530859120 in words is "five hundred thirty million, eight hundred fifty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 211 220 240 264 330 422 440 528 633 660 844 880 953 1055 1266 1320 1688 1906 2110 2321 2532 2640 2859 3165 3376 3812 4220 4642 4765 5064 5718 6330 6963 7624 8440 9284 9530 10128 10483 11436 11605 12660 13926 14295 15248 16880 18568 19060 20966 22872 23210 25320 27852 28590 31449 34815 37136 38120 41932 45744 46420 50640 52415 55704 57180 62898 69630 76240 83864 92840 104830 111408 114360 125796 139260 157245 167728 185680 201083 209660 228720 251592 278520 314490 402166 419320 503184 557040 603249 628980 804332 838640 1005415 1206498 1257960 1608664 2010830 2211913 2412996 2515920 3016245 3217328 4021660 4423826 4825992 6032490 6635739 8043320 8847652 9651984 11059565 12064980 13271478 16086640 17695304 22119130 24129960 26542956 33178695 35390608 44238260 48259920 53085912 66357390 88476520 106171824 132714780 176953040 265429560 530859120