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530280960 = 2935116277
BaseRepresentation
bin11111100110110…
…111001000000000
31100221211001201120
4133212313020000
52041222442320
6124341432240
716066212426
oct3746671000
91327731646
10530280960
11252369a30
1212970b680
1385b27c21
14505d9116
153184a440
hex1f9b7200

530280960 has 160 divisors (see below), whose sum is σ = 1849649472. Its totient is φ = 128532480.

The previous prime is 530280913. The next prime is 530280997. The reversal of 530280960 is 69082035.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81342 + ... + 87618.

Almost surely, 2530280960 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 530280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924824736).

530280960 is an abundant number, since it is smaller than the sum of its proper divisors (1319368512).

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

530280960 is a wasteful number, since it uses less digits than its factorization.

530280960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6314 (or 6298 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 530280960 is about 23027.8301192275. The cubic root of 530280960 is about 809.4102092781.

The spelling of 530280960 in words is "five hundred thirty million, two hundred eighty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 512 528 640 660 704 768 880 960 1056 1280 1320 1408 1536 1760 1920 2112 2560 2640 2816 3520 3840 4224 5280 5632 6277 7040 7680 8448 10560 12554 14080 16896 18831 21120 25108 28160 31385 37662 42240 50216 62770 69047 75324 84480 94155 100432 125540 138094 150648 188310 200864 207141 251080 276188 301296 345235 376620 401728 414282 502160 552376 602592 690470 753240 803456 828564 1004320 1035705 1104752 1205184 1380940 1506480 1606912 1657128 2008640 2071410 2209504 2410368 2761880 3012960 3213824 3314256 4017280 4142820 4419008 4820736 5523760 6025920 6628512 8034560 8285640 8838016 9641472 11047520 12051840 13257024 16069120 16571280 17676032 22095040 24103680 26514048 33142560 35352064 44190080 48207360 53028096 66285120 88380160 106056192 132570240 176760320 265140480 530280960