Search a number
-
+
59013040 = 245737663
BaseRepresentation
bin1110000100011…
…1011110110000
311010001011200011
43201013132300
5110101404130
65504504304
71314413452
oct341073660
9133034604
1059013040
1130347409
121791b094
13c2c2978
147ba22d2
1552aa52a
hex38477b0

59013040 has 20 divisors (see below), whose sum is σ = 137205504. Its totient is φ = 23605184.

The previous prime is 59012969. The next prime is 59013041. The reversal of 59013040 is 4031095.

59013040 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 (20).

It is not an unprimeable number, because it can be changed into a prime (59013041) 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 3 ways as a sum of consecutive naturals, for example, 368752 + ... + 368911.

Almost surely, 259013040 is an apocalyptic number.

It is an amenable number.

59013040 is an abundant number, since it is smaller than the sum of its proper divisors (78192464).

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

59013040 is a wasteful number, since it uses less digits than its factorization.

59013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737676 (or 737670 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 59013040 is about 7681.9945326718. The cubic root of 59013040 is about 389.3283200810.

The spelling of 59013040 in words is "fifty-nine million, thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 737663 1475326 2950652 3688315 5901304 7376630 11802608 14753260 29506520 59013040