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58074960 = 2435241979
BaseRepresentation
bin1101110110001…
…0011101010000
311001021111212110
43131202131100
5104331344320
65432425320
71303425516
oct335423520
9131244773
1058074960
112a866639
1217548240
13c0549a8
1479da4b6
1551725e0
hex3762750

58074960 has 40 divisors (see below), whose sum is σ = 180033120. Its totient is φ = 15486592.

The previous prime is 58074953. The next prime is 58075019. The reversal of 58074960 is 6947085.

58074960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 120750 + ... + 121229.

It is an arithmetic number, because the mean of its divisors is an integer number (4500828).

Almost surely, 258074960 is an apocalyptic number.

It is an amenable number.

58074960 is an abundant number, since it is smaller than the sum of its proper divisors (121958160).

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

58074960 is a wasteful number, since it uses less digits than its factorization.

58074960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241995 (or 241989 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 58074960 is about 7620.6928818842. The cubic root of 58074960 is about 387.2543514191.

The spelling of 58074960 in words is "fifty-eight million, seventy-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 241979 483958 725937 967916 1209895 1451874 1935832 2419790 2903748 3629685 3871664 4839580 5807496 7259370 9679160 11614992 14518740 19358320 29037480 58074960