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536130 = 232572337
BaseRepresentation
bin10000010111001000010
31000020102200
42002321002
5114124010
615254030
74362030
oct2027102
91006380
10536130
11336891
1221a316
1315a04a
14dd550
15a8cc0
hex82e42

536130 has 96 divisors (see below), whose sum is σ = 1707264. Its totient is φ = 114048.

The previous prime is 536111. The next prime is 536141. The reversal of 536130 is 31635.

536130 is a `hidden beast` number, since 53 + 613 + 0 = 666.

536130 is a nontrivial binomial coefficient, being equal to C(1036, 2).

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

It is a nialpdrome in base 14.

It is an unprimeable number.

536130 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14472 + ... + 14508.

It is an arithmetic number, because the mean of its divisors is an integer number (17784).

2536130 is an apocalyptic number.

536130 is the 1035-th triangular number and also the 518-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853632).

536130 is an abundant number, since it is smaller than the sum of its proper divisors (1171134).

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

536130 is a wasteful number, since it uses less digits than its factorization.

536130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 536130 is about 732.2089865605. The cubic root of 536130 is about 81.2375286578.

Adding to 536130 its reverse (31635), we get a palindrome (567765).

It can be divided in two parts, 536 and 130, that added together give a palindrome (666).

The spelling of 536130 in words is "five hundred thirty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 30 35 37 42 45 46 63 69 70 74 90 105 111 115 126 138 161 185 207 210 222 230 259 315 322 333 345 370 414 483 518 555 630 666 690 777 805 851 966 1035 1110 1295 1449 1554 1610 1665 1702 2070 2331 2415 2553 2590 2898 3330 3885 4255 4662 4830 5106 5957 7245 7659 7770 8510 11655 11914 12765 14490 15318 17871 23310 25530 29785 35742 38295 53613 59570 76590 89355 107226 178710 268065 536130