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41146020 = 223251953227
BaseRepresentation
bin1001110011110…
…1011010100100
32212102102201200
42130331122210
541013133040
64025522500
71006510146
oct234753244
985372650
1041146020
1121253683
1211943430
1386a8376
145670c96
15392b630
hex273d6a4

41146020 has 144 divisors (see below), whose sum is σ = 134447040. Its totient is φ = 10153728.

The previous prime is 41145997. The next prime is 41146037. The reversal of 41146020 is 2064114.

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 = 41145984 and 41146002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181147 + ... + 181373.

It is an arithmetic number, because the mean of its divisors is an integer number (933660).

Almost surely, 241146020 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 41146020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67223520).

41146020 is an abundant number, since it is smaller than the sum of its proper divisors (93301020).

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

41146020 is a wasteful number, since it uses less digits than its factorization.

41146020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 41146020 is about 6414.5163496557. The cubic root of 41146020 is about 345.2305956795.

The spelling of 41146020 in words is "forty-one million, one hundred forty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 53 57 60 76 90 95 106 114 159 171 180 190 212 227 228 265 285 318 342 380 454 477 530 570 636 681 684 795 855 908 954 1007 1060 1135 1140 1362 1590 1710 1908 2014 2043 2270 2385 2724 3021 3180 3405 3420 4028 4086 4313 4540 4770 5035 6042 6810 8172 8626 9063 9540 10070 10215 12031 12084 12939 13620 15105 17252 18126 20140 20430 21565 24062 25878 30210 36093 36252 38817 40860 43130 45315 48124 51756 60155 60420 64695 72186 77634 86260 90630 108279 120310 129390 144372 155268 180465 181260 194085 216558 228589 240620 258780 360930 388170 433116 457178 541395 685767 721860 776340 914356 1082790 1142945 1371534 2057301 2165580 2285890 2743068 3428835 4114602 4571780 6857670 8229204 10286505 13715340 20573010 41146020