Search a number
-
+
532140312 = 2331141211233
BaseRepresentation
bin11111101101111…
…101000100011000
31101002022112021110
4133231331010120
52042211442222
6124445340320
716121055324
oct3755750430
91332275243
10532140312
11253419990
1212a2676a0
1386329332
1450960984
1531ab630c
hex1fb7d118

532140312 has 128 divisors (see below), whose sum is σ = 1500145920. Its totient is φ = 155904000.

The previous prime is 532140311. The next prime is 532140313. The reversal of 532140312 is 213041235.

It is an interprime number because it is at equal distance from previous prime (532140311) and next prime (532140313).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (532140311) 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, 2283748 + ... + 2283980.

It is an arithmetic number, because the mean of its divisors is an integer number (11719890).

Almost surely, 2532140312 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 532140312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750072960).

532140312 is an abundant number, since it is smaller than the sum of its proper divisors (968005608).

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

532140312 is a wasteful number, since it uses less digits than its factorization.

532140312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 532140312 is about 23068.1666371647. The cubic root of 532140312 is about 810.3551315792.

Adding to 532140312 its reverse (213041235), we get a palindrome (745181547).

The spelling of 532140312 in words is "five hundred thirty-two million, one hundred forty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 211 233 246 264 328 422 451 466 492 633 699 844 902 932 984 1266 1353 1398 1688 1804 1864 2321 2532 2563 2706 2796 3608 4642 5064 5126 5412 5592 6963 7689 8651 9284 9553 10252 10824 13926 15378 17302 18568 19106 20504 25953 27852 28659 30756 34604 38212 49163 51906 55704 57318 61512 69208 76424 95161 98326 103812 105083 114636 147489 190322 196652 207624 210166 229272 285483 294978 315249 380644 393304 420332 540793 570966 589956 630498 761288 840664 1081586 1141932 1179912 1260996 1622379 2015683 2163172 2283864 2521992 3244758 4031366 4326344 6047049 6489516 8062732 12094098 12979032 16125464 22172513 24188196 44345026 48376392 66517539 88690052 133035078 177380104 266070156 532140312