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41130320 = 2457112607
BaseRepresentation
bin1001110011100…
…1100101010000
32212101122012012
42130321211100
541012132240
64025322052
71006413320
oct234714520
985348165
1041130320
1121242900
1211936328
1386a118a
145669280
153926b65
hex2739950

41130320 has 120 divisors (see below), whose sum is σ = 120325632. Its totient is φ = 12798720.

The previous prime is 41130319. The next prime is 41130329. The reversal of 41130320 is 2303114.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 41130295 and 41130304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41130329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67457 + ... + 68063.

Almost surely, 241130320 is an apocalyptic number.

41130320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60162816).

41130320 is an abundant number, since it is smaller than the sum of its proper divisors (79195312).

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

41130320 is a wasteful number, since it uses less digits than its factorization.

41130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 41130320 is about 6413.2924461621. The cubic root of 41130320 is about 345.1866804570.

Adding to 41130320 its reverse (2303114), we get a palindrome (43433434).

The spelling of 41130320 in words is "forty-one million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 121 140 154 176 220 242 280 308 385 440 484 560 605 607 616 770 847 880 968 1210 1214 1232 1540 1694 1936 2420 2428 3035 3080 3388 4235 4249 4840 4856 6070 6160 6677 6776 8470 8498 9680 9712 12140 13354 13552 16940 16996 21245 24280 26708 33385 33880 33992 42490 46739 48560 53416 66770 67760 67984 73447 84980 93478 106832 133540 146894 169960 186956 233695 267080 293788 339920 367235 373912 467390 514129 534160 587576 734470 747824 934780 1028258 1175152 1468940 1869560 2056516 2570645 2937880 3739120 4113032 5141290 5875760 8226064 10282580 20565160 41130320