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535240240 = 245172941331
BaseRepresentation
bin11111111001110…
…001111000110000
31101022011000120121
4133321301320300
52044010141430
6125040020024
716156316113
oct3771617060
91338130517
10535240240
11255146a07
1212b301614
1386b73302
145112a57a
1531ec9a7a
hex1fe71e30

535240240 has 160 divisors (see below), whose sum is σ = 1400535360. Its totient is φ = 189235200.

The previous prime is 535240229. The next prime is 535240243. The reversal of 535240240 is 42042535.

It is a super-2 number, since 2×5352402402 = 572964229030515200, which contains 22 as substring.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (535240243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1616875 + ... + 1617205.

It is an arithmetic number, because the mean of its divisors is an integer number (8753346).

Almost surely, 2535240240 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 535240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700267680).

535240240 is an abundant number, since it is smaller than the sum of its proper divisors (865295120).

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

535240240 is a wasteful number, since it uses less digits than its factorization.

535240240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 535240240 is about 23135.2596700361. The cubic root of 535240240 is about 811.9256324104.

Adding to 535240240 its reverse (42042535), we get a palindrome (577282775).

The spelling of 535240240 in words is "five hundred thirty-five million, two hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 29 34 40 41 58 68 80 82 85 116 136 145 164 170 205 232 272 290 328 331 340 410 464 493 580 656 662 680 697 820 986 1160 1189 1324 1360 1394 1640 1655 1972 2320 2378 2465 2648 2788 3280 3310 3485 3944 4756 4930 5296 5576 5627 5945 6620 6970 7888 9512 9599 9860 11152 11254 11890 13240 13571 13940 19024 19198 19720 20213 22508 23780 26480 27142 27880 28135 38396 39440 40426 45016 47560 47995 54284 55760 56270 67855 76792 80852 90032 95120 95990 101065 108568 112540 135710 153584 161704 163183 191980 202130 217136 225080 230707 271420 323408 326366 383960 393559 404260 450160 461414 542840 652732 767920 787118 808520 815915 922828 1085680 1153535 1305464 1574236 1617040 1631830 1845656 1967795 2307070 2610928 3148472 3263660 3691312 3935590 4614140 6296944 6527320 6690503 7871180 9228280 13054640 13381006 15742360 18456560 26762012 31484720 33452515 53524024 66905030 107048048 133810060 267620120 535240240