Search a number
-
+
59938420 = 2257733877
BaseRepresentation
bin1110010010100…
…1011001110100
311011210012001111
43210221121310
5110321012140
65540404404
71325316403
oct344513164
9134705044
1059938420
1130919693
12180a6704
13c557c29
147d6363a
1553de7ea
hex3929674

59938420 has 24 divisors (see below), whose sum is σ = 126066024. Its totient is φ = 23938176.

The previous prime is 59938397. The next prime is 59938421. The reversal of 59938420 is 2483995.

It is a happy number.

59938420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 309136 + 59629284 = 556^2 + 7722^2 .

It is a super-2 number, since 2×599384202 = 7185228384192800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59938421) 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 7 ways as a sum of consecutive naturals, for example, 13522 + ... + 17398.

It is an arithmetic number, because the mean of its divisors is an integer number (5252751).

Almost surely, 259938420 is an apocalyptic number.

It is an amenable number.

59938420 is an abundant number, since it is smaller than the sum of its proper divisors (66127604).

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

59938420 is a wasteful number, since it uses less digits than its factorization.

59938420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4659 (or 4657 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 59938420 is about 7741.9907000719. The cubic root of 59938420 is about 391.3527862993.

The spelling of 59938420 in words is "fifty-nine million, nine hundred thirty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 773 1546 3092 3865 3877 7730 7754 15460 15508 19385 38770 77540 2996921 5993842 11987684 14984605 29969210 59938420