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60825040 = 2453720549
BaseRepresentation
bin1110100000000…
…1110111010000
311020110020021021
43220001313100
5111032400130
610011405224
71336001323
oct350016720
9136406237
1060825040
1131374831
1218453814
13c7a8663
1481147ba
15551737a
hex3a01dd0

60825040 has 40 divisors (see below), whose sum is σ = 145247400. Its totient is φ = 23671296.

The previous prime is 60825029. The next prime is 60825059. The reversal of 60825040 is 4052806.

It can be written as a sum of positive squares in 4 ways, for example, as 35664784 + 25160256 = 5972^2 + 5016^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 60824996 and 60825014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7315 + ... + 13234.

It is an arithmetic number, because the mean of its divisors is an integer number (3631185).

Almost surely, 260825040 is an apocalyptic number.

It is an amenable number.

60825040 is an abundant number, since it is smaller than the sum of its proper divisors (84422360).

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

60825040 is a wasteful number, since it uses less digits than its factorization.

60825040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20599 (or 20593 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 60825040 is about 7799.0409666830. The cubic root of 60825040 is about 393.2730029720.

Adding to 60825040 its reverse (4052806), we get a palindrome (64877846).

The spelling of 60825040 in words is "sixty million, eight hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 20549 41098 82196 102745 164392 205490 328784 410980 760313 821960 1520626 1643920 3041252 3801565 6082504 7603130 12165008 15206260 30412520 60825040