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537388680 = 23351012439
BaseRepresentation
bin100000000001111…
…110011010001000
31101110012011200110
4200001332122020
52100032414210
6125154034320
716213504563
oct4001763210
91343164613
10537388680
11256384084
1212bb789a0
138744618a
14515294da
15322a1420
hex2007e688

537388680 has 96 divisors (see below), whose sum is σ = 1631995200. Its totient is φ = 141561600.

The previous prime is 537388667. The next prime is 537388699. The reversal of 537388680 is 86883735.

It is a happy number.

537388680 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1223901 + ... + 1224339.

It is an arithmetic number, because the mean of its divisors is an integer number (16999950).

Almost surely, 2537388680 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 537388680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815997600).

537388680 is an abundant number, since it is smaller than the sum of its proper divisors (1094606520).

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

537388680 is a wasteful number, since it uses less digits than its factorization.

537388680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 537388680 is about 23181.6453255588. The cubic root of 537388680 is about 813.0105313711.

The spelling of 537388680 in words is "five hundred thirty-seven million, three hundred eighty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 404 439 505 606 808 878 1010 1212 1317 1515 1756 2020 2195 2424 2634 3030 3512 4040 4390 5268 6060 6585 8780 10201 10536 12120 13170 17560 20402 26340 30603 40804 44339 51005 52680 61206 81608 88678 102010 122412 133017 153015 177356 204020 221695 244824 266034 306030 354712 408040 443390 532068 612060 665085 886780 1064136 1224120 1330170 1773560 2660340 4478239 5320680 8956478 13434717 17912956 22391195 26869434 35825912 44782390 53738868 67173585 89564780 107477736 134347170 179129560 268694340 537388680