Search a number
-
+
532014080 = 2105137993
BaseRepresentation
bin11111101101011…
…110010000000000
31101002002010010012
4133231132100000
52042143422310
6124442524052
716120021313
oct3755362000
91332063105
10532014080
11253343064
1212a206628
13862b3a40
145092a97a
1531a8dc05
hex1fb5e400

532014080 has 88 divisors (see below), whose sum is σ = 1374552312. Its totient is φ = 196411392.

The previous prime is 532014061. The next prime is 532014097. The reversal of 532014080 is 80410235.

It can be written as a sum of positive squares in 4 ways, for example, as 7054336 + 524959744 = 2656^2 + 22912^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62564 + ... + 70556.

Almost surely, 2532014080 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 532014080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687276156).

532014080 is an abundant number, since it is smaller than the sum of its proper divisors (842538232).

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

532014080 is a wasteful number, since it uses less digits than its factorization.

532014080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8031 (or 8013 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 532014080 is about 23065.4304100314. The cubic root of 532014080 is about 810.2910502106.

The spelling of 532014080 in words is "five hundred thirty-two million, fourteen thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1024 1040 1280 1664 2080 2560 3328 4160 5120 6656 7993 8320 13312 15986 16640 31972 33280 39965 63944 66560 79930 103909 127888 159860 207818 255776 319720 415636 511552 519545 639440 831272 1023104 1039090 1278880 1662544 2046208 2078180 2557760 3325088 4092416 4156360 5115520 6650176 8184832 8312720 10231040 13300352 16625440 20462080 26600704 33250880 40924160 53201408 66501760 106402816 133003520 266007040 532014080