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541028124 = 2232713239691
BaseRepresentation
bin100000001111110…
…110111100011100
31101201001002001200
4200033312330130
52102000344444
6125404035500
716256443320
oct4017667434
91351032050
10541028124
1125843a48a
12131232b90
138811b8b0
1451bd5980
153276e969
hex203f6f1c

541028124 has 144 divisors (see below), whose sum is σ = 1692687360. Its totient is φ = 141886080.

The previous prime is 541028119. The next prime is 541028129. The reversal of 541028124 is 421820145.

It is an interprime number because it is at equal distance from previous prime (541028119) and next prime (541028129).

It is a super-2 number, since 2×5410281242 = 585422861917918752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541028129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 782619 + ... + 783309.

Almost surely, 2541028124 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 541028124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846343680).

541028124 is an abundant number, since it is smaller than the sum of its proper divisors (1151659236).

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

541028124 is a wasteful number, since it uses less digits than its factorization.

541028124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 541028124 is about 23260.0112639698. The cubic root of 541028124 is about 814.8417643543.

Adding to 541028124 its reverse (421820145), we get a palindrome (962848269).

It can be divided in two parts, 54102 and 8124, that added together give a palindrome (62226).

The spelling of 541028124 in words is "five hundred forty-one million, twenty-eight thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 239 252 273 364 468 478 546 691 717 819 956 1092 1382 1434 1638 1673 2073 2151 2764 2868 3107 3276 3346 4146 4302 4837 5019 6214 6219 6692 8292 8604 8983 9321 9674 10038 12428 12438 14511 15057 17966 18642 19348 20076 21749 24876 26949 27963 29022 30114 35932 37284 43498 43533 53898 55926 58044 60228 62881 65247 80847 86996 87066 107796 111852 125762 130494 161694 165149 174132 188643 195741 251524 260988 323388 330298 377286 391482 495447 565929 660596 754572 782964 990894 1131858 1156043 1486341 1981788 2146937 2263716 2312086 2972682 3468129 4293874 4624172 5945364 6440811 6936258 8587748 10404387 12881622 13872516 15028559 19322433 20808774 25763244 30057118 38644866 41617548 45085677 60114236 77289732 90171354 135257031 180342708 270514062 541028124