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536682960 = 243251167763
BaseRepresentation
bin11111111111010…
…010000111010000
31101101212022121200
4133333102013100
52044342323320
6125130551200
716204505232
oct3777220720
91341768550
10536682960
11255a41940
1212b898500
1387259ba8
14513c4252
15321b2290
hex1ffd21d0

536682960 has 120 divisors (see below), whose sum is σ = 1966240224. Its totient is φ = 130103040.

The previous prime is 536682917. The next prime is 536682967. The reversal of 536682960 is 69286635.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536682967) 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 23 ways as a sum of consecutive naturals, for example, 25962 + ... + 41801.

Almost surely, 2536682960 is an apocalyptic number.

It is an amenable number.

536682960 is an abundant number, since it is smaller than the sum of its proper divisors (1429557264).

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

536682960 is a wasteful number, since it uses less digits than its factorization.

536682960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67793 (or 67784 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 536682960 is about 23166.4187996332. The cubic root of 536682960 is about 812.6544829730.

The spelling of 536682960 in words is "five hundred thirty-six million, six hundred eighty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 67763 135526 203289 271052 338815 406578 542104 609867 677630 745393 813156 1016445 1084208 1219734 1355260 1490786 1626312 2032890 2236179 2439468 2710520 2981572 3049335 3252624 3726965 4065780 4472358 4878936 5421040 5963144 6098670 6708537 7453930 8131560 8944716 9757872 11180895 11926288 12197340 13417074 14907860 16263120 17889432 22361790 24394680 26834148 29815720 33542685 35778864 44723580 48789360 53668296 59631440 67085370 89447160 107336592 134170740 178894320 268341480 536682960