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541358860 = 225721633389
BaseRepresentation
bin100000010001000…
…111101100001100
31101201122212202011
4200101013230030
52102041440420
6125415111004
716262321500
oct4021075414
91351585664
10541358860
11258645a19
12131372464
13882062b3
1451c80300
15327d795a
hex20447b0c

541358860 has 72 divisors (see below), whose sum is σ = 1330968240. Its totient is φ = 184415616.

The previous prime is 541358837. The next prime is 541358879. The reversal of 541358860 is 68853145.

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, 158046 + ... + 161434.

It is an arithmetic number, because the mean of its divisors is an integer number (18485670).

Almost surely, 2541358860 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 541358860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665484120).

541358860 is an abundant number, since it is smaller than the sum of its proper divisors (789609380).

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

541358860 is a wasteful number, since it uses less digits than its factorization.

541358860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3575 (or 3566 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The square root of 541358860 is about 23267.1197186072. The cubic root of 541358860 is about 815.0077708871.

The spelling of 541358860 in words is "five hundred forty-one million, three hundred fifty-eight thousand, eight hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 163 196 245 326 490 652 815 980 1141 1630 2282 3260 3389 4564 5705 6778 7987 11410 13556 15974 16945 22820 23723 31948 33890 39935 47446 67780 79870 94892 118615 159740 166061 237230 332122 474460 552407 664244 830305 1104814 1660610 2209628 2762035 3321220 3866849 5524070 7733698 11048140 15467396 19334245 27067943 38668490 54135886 77336980 108271772 135339715 270679430 541358860