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56364060 = 223571101131
BaseRepresentation
bin1101011100000…
…0110000011100
310221001120221210
43113000300130
5103412122220
65332024420
71253041464
oct327006034
9127046853
1056364060
11298a8175
1216a62110
13b8a601c
1476b2ba4
154e356e0
hex35c0c1c

56364060 has 96 divisors (see below), whose sum is σ = 162860544. Its totient is φ = 14560000.

The previous prime is 56364037. The next prime is 56364067. The reversal of 56364060 is 6046365.

56364060 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

56364060 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56364067) 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 31 ways as a sum of consecutive naturals, for example, 430195 + ... + 430325.

It is an arithmetic number, because the mean of its divisors is an integer number (1696464).

Almost surely, 256364060 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 56364060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81430272).

56364060 is an abundant number, since it is smaller than the sum of its proper divisors (106496484).

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

56364060 is a wasteful number, since it uses less digits than its factorization.

56364060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 56364060 is about 7507.6001491822. The cubic root of 56364060 is about 383.4135198772.

The spelling of 56364060 in words is "fifty-six million, three hundred sixty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 101 131 142 202 213 262 284 303 355 393 404 426 505 524 606 655 710 786 852 1010 1065 1212 1310 1420 1515 1572 1965 2020 2130 2620 3030 3930 4260 6060 7171 7860 9301 13231 14342 18602 21513 26462 27903 28684 35855 37204 39693 43026 46505 52924 55806 66155 71710 79386 86052 93010 107565 111612 132310 139515 143420 158772 186020 198465 215130 264620 279030 396930 430260 558060 793860 939401 1878802 2818203 3757604 4697005 5636406 9394010 11272812 14091015 18788020 28182030 56364060