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41013520 = 2451753569
BaseRepresentation
bin1001110001110…
…1000100010000
32212011200222021
42130131010100
540444413040
64023021224
71005415642
oct234350420
985150867
1041013520
1121173079
121189a814
13865cc72
145638892
15390224a
hex271d110

41013520 has 80 divisors (see below), whose sum is σ = 103051440. Its totient is φ = 15122432.

The previous prime is 41013509. The next prime is 41013541. The reversal of 41013520 is 2531014.

It can be written as a sum of positive squares in 8 ways, for example, as 2304 + 41011216 = 48^2 + 6404^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 41013494 and 41013503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71796 + ... + 72364.

It is an arithmetic number, because the mean of its divisors is an integer number (1288143).

Almost surely, 241013520 is an apocalyptic number.

41013520 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 41013520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51525720).

41013520 is an abundant number, since it is smaller than the sum of its proper divisors (62037920).

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

41013520 is a wasteful number, since it uses less digits than its factorization.

41013520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 41013520 is about 6404.1798850438. The cubic root of 41013520 is about 344.8596222282.

Adding to 41013520 its reverse (2531014), we get a palindrome (43544534).

The spelling of 41013520 in words is "forty-one million, thirteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 53 68 80 85 106 136 170 212 265 272 340 424 530 569 680 848 901 1060 1138 1360 1802 2120 2276 2845 3604 4240 4505 4552 5690 7208 9010 9104 9673 11380 14416 18020 19346 22760 30157 36040 38692 45520 48365 60314 72080 77384 96730 120628 150785 154768 193460 241256 301570 386920 482512 512669 603140 773840 1025338 1206280 2050676 2412560 2563345 4101352 5126690 8202704 10253380 20506760 41013520