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59268940 = 22597137223
BaseRepresentation
bin1110001000010…
…1111101001100
311010112011200221
43202011331030
5110133101230
65514201124
71316530513
oct342057514
9133464627
1059268940
11305016a5
1217a231a4
13c3822a3
147c2b67a
15530b27a
hex3885f4c

59268940 has 48 divisors (see below), whose sum is σ = 127233792. Its totient is φ = 23187456.

The previous prime is 59268929. The next prime is 59268941. The reversal of 59268940 is 4986295.

59268940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (59268941) 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 15 ways as a sum of consecutive naturals, for example, 265669 + ... + 265891.

It is an arithmetic number, because the mean of its divisors is an integer number (2650704).

Almost surely, 259268940 is an apocalyptic number.

It is an amenable number.

59268940 is an abundant number, since it is smaller than the sum of its proper divisors (67964852).

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

59268940 is a wasteful number, since it uses less digits than its factorization.

59268940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The square root of 59268940 is about 7698.6323460729. The cubic root of 59268940 is about 389.8902605990.

The spelling of 59268940 in words is "fifty-nine million, two hundred sixty-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 97 137 194 223 274 388 446 485 548 685 892 970 1115 1370 1940 2230 2740 4460 13289 21631 26578 30551 43262 53156 61102 66445 86524 108155 122204 132890 152755 216310 265780 305510 432620 611020 2963447 5926894 11853788 14817235 29634470 59268940