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530807040 = 2833515359
BaseRepresentation
bin11111101000110…
…111100100000000
31100222210210101000
4133220313210000
52041341311130
6124401012000
716103533251
oct3750674400
91328723330
10530807040
11252699205
12129924000
1385c8050a
14506d4b28
1531901260
hex1fa37900

530807040 has 144 divisors (see below), whose sum is σ = 1883750400. Its totient is φ = 141539328.

The previous prime is 530807023. The next prime is 530807051. The reversal of 530807040 is 40708035.

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

It is a super-2 number, since 2×5308070402 = 563512227427123200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 530806995 and 530807013.

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, 26881 + ... + 42239.

It is an arithmetic number, because the mean of its divisors is an integer number (13081600).

Almost surely, 2530807040 is an apocalyptic number.

530807040 is the 11520-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 530807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941875200).

530807040 is an abundant number, since it is smaller than the sum of its proper divisors (1352943360).

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

530807040 is a wasteful number, since it uses less digits than its factorization.

530807040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15389 (or 15369 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 530807040 is about 23039.2499877926. The cubic root of 530807040 is about 809.6777867945.

The spelling of 530807040 in words is "five hundred thirty million, eight hundred seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 864 960 1080 1152 1280 1440 1728 1920 2160 2304 2880 3456 3840 4320 5760 6912 8640 11520 15359 17280 30718 34560 46077 61436 76795 92154 122872 138231 153590 184308 230385 245744 276462 307180 368616 414693 460770 491488 552924 614360 691155 737232 829386 921540 982976 1105848 1228720 1382310 1474464 1658772 1843080 1965952 2073465 2211696 2457440 2764620 2948928 3317544 3686160 3931904 4146930 4423392 4914880 5529240 5897856 6635088 7372320 8293860 8846784 9829760 11058480 11795712 13270176 14744640 16587720 17693568 19659520 22116960 26540352 29489280 33175440 35387136 44233920 53080704 58978560 66350880 88467840 106161408 132701760 176935680 265403520 530807040