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60004096 = 28317561
BaseRepresentation
bin1110010011100…
…1011100000000
311011220112010221
43210321130000
5110330112341
65542032424
71326012025
oct344713400
9134815127
1060004096
1130963a69
1218118714
13c57baa9
147d7d54c
155403ed1
hex3939700

60004096 has 36 divisors (see below), whose sum is σ = 123653824. Its totient is φ = 29030400.

The previous prime is 60004093. The next prime is 60004099. The reversal of 60004096 is 69040006.

It is an interprime number because it is at equal distance from previous prime (60004093) and next prime (60004099).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 60004096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60004093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4156 + ... + 11716.

Almost surely, 260004096 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 60004096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61826912).

60004096 is an abundant number, since it is smaller than the sum of its proper divisors (63649728).

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

60004096 is an equidigital number, since it uses as much as digits as its factorization.

60004096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7608 (or 7594 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 60004096 is about 7746.2310835657. The cubic root of 60004096 is about 391.4956724130.

The spelling of 60004096 in words is "sixty million, four thousand, ninety-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 992 1984 3968 7561 7936 15122 30244 60488 120976 234391 241952 468782 483904 937564 967808 1875128 1935616 3750256 7500512 15001024 30002048 60004096