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41013720 = 233251110357
BaseRepresentation
bin1001110001110…
…1000111011000
32212011201020200
42130131013120
540444414340
64023022200
71005416346
oct234350730
985151220
1041013720
1121173240
121189a960
138660097
145638996
153902330
hex271d1d8

41013720 has 96 divisors (see below), whose sum is σ = 145426320. Its totient is φ = 9941760.

The previous prime is 41013691. The next prime is 41013727. The reversal of 41013720 is 2731014.

41013720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 41013693 and 41013702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41013727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1219 + ... + 9138.

Almost surely, 241013720 is an apocalyptic number.

41013720 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 41013720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72713160).

41013720 is an abundant number, since it is smaller than the sum of its proper divisors (104412600).

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

41013720 is a wasteful number, since it uses less digits than its factorization.

41013720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10385 (or 10378 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 41013720 is about 6404.1954998267. The cubic root of 41013720 is about 344.8601827898.

Adding to 41013720 its reverse (2731014), we get a palindrome (43744734).

The spelling of 41013720 in words is "forty-one million, thirteen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 10357 20714 31071 41428 51785 62142 82856 93213 103570 113927 124284 155355 186426 207140 227854 248568 310710 341781 372852 414280 455708 466065 569635 621420 683562 745704 911416 932130 1025343 1139270 1242840 1367124 1708905 1864260 2050686 2278540 2734248 3417810 3728520 4101372 4557080 5126715 6835620 8202744 10253430 13671240 20506860 41013720