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532142120 = 235191514637
BaseRepresentation
bin11111101101111…
…101100000101000
31101002022121202102
4133231331200220
52042212021440
6124445352532
716121063516
oct3755754050
91332277672
10532142120
11253420284
1212a268748
138632a0c3
14509614b6
1531ab6b15
hex1fb7d828

532142120 has 64 divisors (see below), whose sum is σ = 1268956800. Its totient is φ = 200275200.

The previous prime is 532142081. The next prime is 532142123. The reversal of 532142120 is 21241235.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 532142092 and 532142101.

It is not an unprimeable number, because it can be changed into a prime (532142123) 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 15 ways as a sum of consecutive naturals, for example, 112442 + ... + 117078.

It is an arithmetic number, because the mean of its divisors is an integer number (19827450).

Almost surely, 2532142120 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 532142120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634478400).

532142120 is an abundant number, since it is smaller than the sum of its proper divisors (736814680).

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

532142120 is a wasteful number, since it uses less digits than its factorization.

532142120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4818 (or 4814 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 532142120 is about 23068.2058253346. The cubic root of 532142120 is about 810.3560493324.

Adding to 532142120 its reverse (21241235), we get a palindrome (553383355).

The spelling of 532142120 in words is "five hundred thirty-two million, one hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 151 152 190 302 380 604 755 760 1208 1510 2869 3020 4637 5738 6040 9274 11476 14345 18548 22952 23185 28690 37096 46370 57380 88103 92740 114760 176206 185480 352412 440515 700187 704824 881030 1400374 1762060 2800748 3500935 3524120 5601496 7001870 13303553 14003740 26607106 28007480 53214212 66517765 106428424 133035530 266071060 532142120