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60106420 = 22511475813
BaseRepresentation
bin1110010101001…
…0011010110100
311012002201111201
43211102122310
5110341401140
65544142244
71326616243
oct345223264
9135081451
1060106420
1130a23930
1218167984
13c5b653a
147da895a
15542449a
hex39526b4

60106420 has 48 divisors (see below), whose sum is σ = 140652288. Its totient is φ = 21388160.

The previous prime is 60106381. The next prime is 60106457. The reversal of 60106420 is 2460106.

60106420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×601064202 = 7225563450432800, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 7434 + ... + 13246.

It is an arithmetic number, because the mean of its divisors is an integer number (2930256).

Almost surely, 260106420 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 60106420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70326144).

60106420 is an abundant number, since it is smaller than the sum of its proper divisors (80545868).

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

60106420 is a wasteful number, since it uses less digits than its factorization.

60106420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5880 (or 5878 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 60106420 is about 7752.8330305766. The cubic root of 60106420 is about 391.7180830845.

Adding to 60106420 its reverse (2460106), we get a palindrome (62566526).

The spelling of 60106420 in words is "sixty million, one hundred six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 1034 2068 2585 5170 5813 10340 11626 23252 29065 58130 63943 116260 127886 255772 273211 319715 546422 639430 1092844 1278860 1366055 2732110 3005321 5464220 6010642 12021284 15026605 30053210 60106420