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60225536 = 21174201
BaseRepresentation
bin1110010110111…
…1100000000000
311012022202220102
43211233200000
5110404204121
65550501532
71330623440
oct345574000
9135282812
1060225536
1130aa5378
12182048a8
13c628817
147dda120
15544990b
hex396f800

60225536 has 48 divisors (see below), whose sum is σ = 137657520. Its totient is φ = 25804800.

The previous prime is 60225527. The next prime is 60225541. The reversal of 60225536 is 63552206.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 60225499 and 60225508.

It is a congruent number.

It is an unprimeable number.

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, 12236 + ... + 16436.

It is an arithmetic number, because the mean of its divisors is an integer number (2867865).

Almost surely, 260225536 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 60225536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68828760).

60225536 is an abundant number, since it is smaller than the sum of its proper divisors (77431984).

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

60225536 is an equidigital number, since it uses as much as digits as its factorization.

60225536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4230 (or 4210 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 60225536 is about 7760.5113233601. The cubic root of 60225536 is about 391.9766749970.

The spelling of 60225536 in words is "sixty million, two hundred twenty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 3584 4201 7168 8402 14336 16804 29407 33608 58814 67216 117628 134432 235256 268864 470512 537728 941024 1075456 1882048 2150912 3764096 4301824 7528192 8603648 15056384 30112768 60225536