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41596740 = 22385317
BaseRepresentation
bin1001111010101…
…1011101000100
32220021100000000
42132223131010
541122043430
64043321300
71013365203
oct236533504
986240000
1041596740
1121531279
1211b20230
138805573
14574b23a
1539b9e60
hex27ab744

41596740 has 108 divisors (see below), whose sum is σ = 131436396. Its totient is φ = 11057472.

The previous prime is 41596729. The next prime is 41596741. The reversal of 41596740 is 4769514.

It can be written as a sum of positive squares in 2 ways, for example, as 7584516 + 34012224 = 2754^2 + 5832^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41596695 and 41596704.

It is not an unprimeable number, because it can be changed into a prime (41596741) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 131062 + ... + 131378.

Almost surely, 241596740 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 41596740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65718198).

41596740 is an abundant number, since it is smaller than the sum of its proper divisors (89839656).

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

41596740 is an equidigital number, since it uses as much as digits as its factorization.

41596740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 41596740 is about 6449.5534729158. The cubic root of 41596740 is about 346.4865908118.

The spelling of 41596740 in words is "forty-one million, five hundred ninety-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 317 324 405 486 540 634 729 810 951 972 1215 1268 1458 1585 1620 1902 2187 2430 2853 2916 3170 3645 3804 4374 4755 4860 5706 6340 6561 7290 8559 8748 9510 10935 11412 13122 14265 14580 17118 19020 21870 25677 26244 28530 32805 34236 42795 43740 51354 57060 65610 77031 85590 102708 128385 131220 154062 171180 231093 256770 308124 385155 462186 513540 693279 770310 924372 1155465 1386558 1540620 2079837 2310930 2773116 3466395 4159674 4621860 6932790 8319348 10399185 13865580 20798370 41596740