Search a number
-
+
534552120 = 233254213527
BaseRepresentation
bin11111110111001…
…001111000111000
31101020212001122200
4133313021320320
52043321131440
6125013150200
716150421664
oct3767117070
91336761580
10534552120
11254816a13
1212b02b360
138699203b
1450dcb8a4
1531de0c30
hex1fdc9e38

534552120 has 96 divisors (see below), whose sum is σ = 1741914720. Its totient is φ = 142168320.

The previous prime is 534552119. The next prime is 534552169. The reversal of 534552120 is 21255435.

It is a happy number.

534552120 is a `hidden beast` number, since 534 + 5 + 5 + 2 + 120 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149797 + ... + 153323.

It is an arithmetic number, because the mean of its divisors is an integer number (18144945).

Almost surely, 2534552120 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 534552120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870957360).

534552120 is an abundant number, since it is smaller than the sum of its proper divisors (1207362600).

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

534552120 is a wasteful number, since it uses less digits than its factorization.

534552120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3965 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 534552120 is about 23120.3832148172. The cubic root of 534552120 is about 811.5775383376.

The spelling of 534552120 in words is "five hundred thirty-four million, five hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 421 842 1263 1684 2105 2526 3368 3527 3789 4210 5052 6315 7054 7578 8420 10104 10581 12630 14108 15156 16840 17635 18945 21162 25260 28216 30312 31743 35270 37890 42324 50520 52905 63486 70540 75780 84648 105810 126972 141080 151560 158715 211620 253944 317430 423240 634860 1269720 1484867 2969734 4454601 5939468 7424335 8909202 11878936 13363803 14848670 17818404 22273005 26727606 29697340 35636808 44546010 53455212 59394680 66819015 89092020 106910424 133638030 178184040 267276060 534552120