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541150020 = 2232519158231
BaseRepresentation
bin100000010000010…
…100101101000100
31101201021021021100
4200100110231010
52102013300040
6125410420100
716260461565
oct4020245504
91351237240
10541150020
11258513024
12131291630
1388162218
1451c2816c
1532795b30
hex20414b44

541150020 has 72 divisors (see below), whose sum is σ = 1727893440. Its totient is φ = 136710720.

The previous prime is 541150019. The next prime is 541150037. The reversal of 541150020 is 20051145.

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

It is a junction number, because it is equal to n+sod(n) for n = 541149975 and 541150002.

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, 75696 + ... + 82535.

It is an arithmetic number, because the mean of its divisors is an integer number (23998520).

Almost surely, 2541150020 is an apocalyptic number.

It is an amenable number.

541150020 is an abundant number, since it is smaller than the sum of its proper divisors (1186743420).

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

541150020 is a wasteful number, since it uses less digits than its factorization.

541150020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158265 (or 158260 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 541150020 is about 23262.6314074741. The cubic root of 541150020 is about 814.9029555622.

The spelling of 541150020 in words is "five hundred forty-one million, one hundred fifty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 158231 316462 474693 632924 791155 949386 1424079 1582310 1898772 2373465 2848158 3006389 3164620 4746930 5696316 6012778 7120395 9019167 9493860 12025556 14240790 15031945 18038334 27057501 28481580 30063890 36076668 45095835 54115002 60127780 90191670 108230004 135287505 180383340 270575010 541150020