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60096420 = 223251372437
BaseRepresentation
bin1110010100111…
…1111110100100
311012002012210100
43211033332210
5110341041140
65544024100
71326545136
oct345177644
9135065710
1060096420
1130a1736a
1218162030
13c5b1b17
147da5056
155421530
hex394ffa4

60096420 has 72 divisors (see below), whose sum is σ = 183698424. Its totient is φ = 15902208.

The previous prime is 60096389. The next prime is 60096427. The reversal of 60096420 is 2469006.

It can be written as a sum of positive squares in 4 ways, for example, as 21233664 + 38862756 = 4608^2 + 6234^2 .

It is a super-2 number, since 2×600964202 = 7223159393632800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (60096427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23442 + ... + 25878.

It is an arithmetic number, because the mean of its divisors is an integer number (2551367).

Almost surely, 260096420 is an apocalyptic number.

60096420 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60096420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91849212).

60096420 is an abundant number, since it is smaller than the sum of its proper divisors (123602004).

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

60096420 is a wasteful number, since it uses less digits than its factorization.

60096420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2589 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 60096420 is about 7752.1880782138. The cubic root of 60096420 is about 391.6963582943.

It can be divided in two parts, 60096 and 420, that added together give a square (60516 = 2462).

The spelling of 60096420 in words is "sixty million, ninety-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 137 180 274 411 548 685 822 1233 1370 1644 2055 2437 2466 2740 4110 4874 4932 6165 7311 8220 9748 12185 12330 14622 21933 24370 24660 29244 36555 43866 48740 73110 87732 109665 146220 219330 333869 438660 667738 1001607 1335476 1669345 2003214 3004821 3338690 4006428 5008035 6009642 6677380 10016070 12019284 15024105 20032140 30048210 60096420