Search a number
-
+
60412616 = 23111375011
BaseRepresentation
bin1110011001110…
…1001011001000
311012200021112022
43212131023020
5110431200431
65554504012
71332333035
oct346351310
9135607468
1060412616
1131112990
1218295008
13c692a14
14804838c
15548507b
hex399d2c8

60412616 has 32 divisors (see below), whose sum is σ = 124498080. Its totient is φ = 27254400.

The previous prime is 60412613. The next prime is 60412657. The reversal of 60412616 is 61621406.

It is a happy number.

60412616 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 (26) 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 (60412613) 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, 9551 + ... + 14561.

It is an arithmetic number, because the mean of its divisors is an integer number (3890565).

Almost surely, 260412616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60412616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62249040).

60412616 is an abundant number, since it is smaller than the sum of its proper divisors (64085464).

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

60412616 is a wasteful number, since it uses less digits than its factorization.

60412616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5165 (or 5161 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 60412616 is about 7772.5553069759. Note that the first 3 decimals coincide. The cubic root of 60412616 is about 392.3821242579.

The spelling of 60412616 in words is "sixty million, four hundred twelve thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 22 44 88 137 274 548 1096 1507 3014 5011 6028 10022 12056 20044 40088 55121 110242 220484 440968 686507 1373014 2746028 5492056 7551577 15103154 30206308 60412616