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41125320 = 233554231
BaseRepresentation
bin1001110011100…
…0010111001000
32212101101100000
42130320113020
541012002240
64025243000
71006362615
oct234702710
985341300
1041125320
112123a075
1211933460
13869bb12
14566750c
153925430
hex27385c8

41125320 has 96 divisors (see below), whose sum is σ = 138640320. Its totient is φ = 10964160.

The previous prime is 41125309. The next prime is 41125327. The reversal of 41125320 is 2352114.

41125320 is a `hidden beast` number, since 411 + 253 + 2 + 0 = 666.

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 = 41125293 and 41125302.

It is not an unprimeable number, because it can be changed into a prime (41125327) 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, 7605 + ... + 11835.

It is an arithmetic number, because the mean of its divisors is an integer number (1444170).

Almost surely, 241125320 is an apocalyptic number.

41125320 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 41125320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69320160).

41125320 is an abundant number, since it is smaller than the sum of its proper divisors (97515000).

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

41125320 is a wasteful number, since it uses less digits than its factorization.

41125320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4257 (or 4241 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 41125320 is about 6412.9026189394. The cubic root of 41125320 is about 345.1726923711.

Adding to 41125320 its reverse (2352114), we get a palindrome (43477434).

The spelling of 41125320 in words is "forty-one million, one hundred twenty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2430 3240 4231 4860 8462 9720 12693 16924 21155 25386 33848 38079 42310 50772 63465 76158 84620 101544 114237 126930 152316 169240 190395 228474 253860 304632 342711 380790 456948 507720 571185 685422 761580 913896 1028133 1142370 1370844 1523160 1713555 2056266 2284740 2741688 3427110 4112532 4569480 5140665 6854220 8225064 10281330 13708440 20562660 41125320