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532120014 = 232293727551
BaseRepresentation
bin11111101101111…
…000000111001110
31101002021111102200
4133231320013032
52042210320024
6124445102330
716120642206
oct3755700716
91332244380
10532120014
11253405708
1212a2579a6
138632001a
1450957406
1531ab02c9
hex1fb781ce

532120014 has 48 divisors (see below), whose sum is σ = 1224961920. Its totient is φ = 166622400.

The previous prime is 532119983. The next prime is 532120021. The reversal of 532120014 is 410021235.

532120014 is a `hidden beast` number, since 532 + 120 + 0 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

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, 5539 + ... + 33089.

It is an arithmetic number, because the mean of its divisors is an integer number (25520040).

Almost surely, 2532120014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 532120014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612480960).

532120014 is an abundant number, since it is smaller than the sum of its proper divisors (692841906).

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

532120014 is a wasteful number, since it uses less digits than its factorization.

532120014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27625 (or 27622 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 532120014 is about 23067.7266760294. The cubic root of 532120014 is about 810.3448280326.

Adding to 532120014 its reverse (410021235), we get a palindrome (942141249).

The spelling of 532120014 in words is "five hundred thirty-two million, one hundred twenty thousand, fourteen".

Divisors: 1 2 3 6 9 18 29 37 58 74 87 111 174 222 261 333 522 666 1073 2146 3219 6438 9657 19314 27551 55102 82653 165306 247959 495918 798979 1019387 1597958 2038774 2396937 3058161 4793874 6116322 7190811 9174483 14381622 18348966 29562223 59124446 88686669 177373338 266060007 532120014