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60029216 = 25131131277
BaseRepresentation
bin1110010011111…
…1100100100000
311011221210121022
43210333210200
5110331413331
65542345012
71326145202
oct344774440
9134853538
1060029216
1130980925
121812b168
13c58a360
147d88772
15540b67b
hex393f920

60029216 has 48 divisors (see below), whose sum is σ = 128500344. Its totient is φ = 27439104.

The previous prime is 60029209. The next prime is 60029239. The reversal of 60029216 is 61292006.

60029216 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 27081616 + 32947600 = 5204^2 + 5740^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 46370 + ... + 47646.

Almost surely, 260029216 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 60029216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64250172).

60029216 is an abundant number, since it is smaller than the sum of its proper divisors (68471128).

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

60029216 is a wasteful number, since it uses less digits than its factorization.

60029216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 60029216 is about 7747.8523475864. The cubic root of 60029216 is about 391.5502964577.

The spelling of 60029216 in words is "sixty million, twenty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 104 113 208 226 416 452 904 1277 1469 1808 2554 2938 3616 5108 5876 10216 11752 16601 20432 23504 33202 40864 47008 66404 132808 144301 265616 288602 531232 577204 1154408 1875913 2308816 3751826 4617632 7503652 15007304 30014608 60029216