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41542020 = 223251341433
BaseRepresentation
bin1001111001111…
…0000110000100
32220011112221100
42132132012010
541113321040
64042220100
71013046522
oct236360604
986145840
1041542020
11214a4153
1211ab4630
1387b66a0
145735312
1539a8b30
hex279e184

41542020 has 144 divisors (see below), whose sum is σ = 139334832. Its totient is φ = 9953280.

The previous prime is 41542013. The next prime is 41542027. The reversal of 41542020 is 2024514.

It is an interprime number because it is at equal distance from previous prime (41542013) and next prime (41542027).

It can be written as a sum of positive squares in 8 ways, for example, as 20142144 + 21399876 = 4488^2 + 4626^2 .

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 41541984 and 41542002.

It is not an unprimeable number, because it can be changed into a prime (41542027) 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, 95724 + ... + 96156.

It is an arithmetic number, because the mean of its divisors is an integer number (967603).

Almost surely, 241542020 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 41542020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69667416).

41542020 is an abundant number, since it is smaller than the sum of its proper divisors (97792812).

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

41542020 is a wasteful number, since it uses less digits than its factorization.

41542020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 41542020 is about 6445.3099227268. The cubic root of 41542020 is about 346.3345911912.

Adding to 41542020 its reverse (2024514), we get a palindrome (43566534).

The spelling of 41542020 in words is "forty-one million, five hundred forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 41 45 52 60 65 78 82 90 117 123 130 156 164 180 195 205 234 246 260 369 390 410 433 468 492 533 585 615 738 780 820 866 1066 1170 1230 1299 1476 1599 1732 1845 2132 2165 2340 2460 2598 2665 3198 3690 3897 4330 4797 5196 5330 5629 6396 6495 7380 7794 7995 8660 9594 10660 11258 12990 15588 15990 16887 17753 19188 19485 22516 23985 25980 28145 31980 33774 35506 38970 47970 50661 53259 56290 67548 71012 77940 84435 88765 95940 101322 106518 112580 159777 168870 177530 202644 213036 230789 253305 266295 319554 337740 355060 461578 506610 532590 639108 692367 798885 923156 1013220 1065180 1153945 1384734 1597770 2077101 2307890 2769468 3195540 3461835 4154202 4615780 6923670 8308404 10385505 13847340 20771010 41542020