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60105472 = 287171973
BaseRepresentation
bin1110010101001…
…0001100000000
311012002200012121
43211102030000
5110341333342
65544134024
71326613420
oct345221400
9135080177
1060105472
1130a23149
1218167314
13c5b5c8b
147da8480
155424067
hex3952300

60105472 has 72 divisors (see below), whose sum is σ = 145254816. Its totient is φ = 24231936.

The previous prime is 60105469. The next prime is 60105473. The reversal of 60105472 is 27450106.

It is a super-2 number, since 2×601054722 = 7225335528685568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (60105473) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29478 + ... + 31450.

It is an arithmetic number, because the mean of its divisors is an integer number (2017428).

Almost surely, 260105472 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 60105472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72627408).

60105472 is an abundant number, since it is smaller than the sum of its proper divisors (85149344).

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

60105472 is a wasteful number, since it uses less digits than its factorization.

60105472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 60105472 is about 7752.7718913947. The cubic root of 60105472 is about 391.7160236778.

Adding to 60105472 its reverse (27450106), we get a palindrome (87555578).

The spelling of 60105472 in words is "sixty million, one hundred five thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 544 896 952 1088 1792 1904 1973 2176 3808 3946 4352 7616 7892 13811 15232 15784 27622 30464 31568 33541 55244 63136 67082 110488 126272 134164 220976 234787 252544 268328 441952 469574 505088 536656 883904 939148 1073312 1767808 1878296 2146624 3535616 3756592 4293248 7513184 8586496 15026368 30052736 60105472