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530978240 = 265131091171
BaseRepresentation
bin11111101001100…
…001010111000000
31101000010111012202
4133221201113000
52041412300430
6124404412332
716105145342
oct3751412700
91330114182
10530978240
112527a58a1
121299a70a8
1386010410
145073b292
1531936d45
hex1fa615c0

530978240 has 112 divisors (see below), whose sum is σ = 1375318560. Its totient is φ = 194088960.

The previous prime is 530978213. The next prime is 530978243. The reversal of 530978240 is 42879035.

It is a junction number, because it is equal to n+sod(n) for n = 530978194 and 530978203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530978243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 452855 + ... + 454025.

It is an arithmetic number, because the mean of its divisors is an integer number (12279630).

Almost surely, 2530978240 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 530978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687659280).

530978240 is an abundant number, since it is smaller than the sum of its proper divisors (844340320).

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

530978240 is a wasteful number, since it uses less digits than its factorization.

530978240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 530978240 is about 23042.9650869848. The cubic root of 530978240 is about 809.7648252892.

The spelling of 530978240 in words is "five hundred thirty million, nine hundred seventy-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 109 130 160 208 218 260 320 416 436 520 545 832 872 1040 1090 1171 1417 1744 2080 2180 2342 2834 3488 4160 4360 4684 5668 5855 6976 7085 8720 9368 11336 11710 14170 15223 17440 18736 22672 23420 28340 30446 34880 37472 45344 46840 56680 60892 74944 76115 90688 93680 113360 121784 127639 152230 187360 226720 243568 255278 304460 374720 453440 487136 510556 608920 638195 974272 1021112 1217840 1276390 1659307 2042224 2435680 2552780 3318614 4084448 4871360 5105560 6637228 8168896 8296535 10211120 13274456 16593070 20422240 26548912 33186140 40844480 53097824 66372280 106195648 132744560 265489120 530978240