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68027364 = 223641569
BaseRepresentation
bin1000000111000…
…00001111100100
311202000011000000
410003200033210
5114403333424
610430021300
71454136336
oct403401744
9152004000
1068027364
1135443a69
121a947830
131112a9a2
14906b456
155e8b3c9
hex40e03e4

68027364 has 84 divisors (see below), whose sum is σ = 183164940. Its totient is φ = 22083840.

The previous prime is 68027347. The next prime is 68027369. The reversal of 68027364 is 46372086.

It can be written as a sum of positive squares in 2 ways, for example, as 6718464 + 61308900 = 2592^2 + 7830^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68027369) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 119272 + ... + 119840.

It is an arithmetic number, because the mean of its divisors is an integer number (2180535).

Almost surely, 268027364 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 68027364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91582470).

68027364 is an abundant number, since it is smaller than the sum of its proper divisors (115137576).

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

68027364 is a wasteful number, since it uses less digits than its factorization.

68027364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 68027364 is about 8247.8702705608. The cubic root of 68027364 is about 408.2202530504.

The spelling of 68027364 in words is "sixty-eight million, twenty-seven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 243 246 324 369 486 492 569 729 738 972 1107 1138 1458 1476 1707 2214 2276 2916 3321 3414 4428 5121 6642 6828 9963 10242 13284 15363 19926 20484 23329 29889 30726 39852 46089 46658 59778 61452 69987 92178 93316 119556 138267 139974 184356 209961 276534 279948 414801 419922 553068 629883 829602 839844 1259766 1659204 1889649 2519532 3779298 5668947 7558596 11337894 17006841 22675788 34013682 68027364