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64267380 = 223253071163
BaseRepresentation
bin1111010100101…
…0010001110100
311110221010021100
43311022101310
5112423024010
610213250100
71410156312
oct365122164
9143833240
1064267380
1133306041
1219633930
1310412448
14876d0b2
1559972c0
hex3d4a474

64267380 has 72 divisors (see below), whose sum is σ = 195747552. Its totient is φ = 17067456.

The previous prime is 64267331. The next prime is 64267387. The reversal of 64267380 is 8376246.

64267380 is a `hidden beast` number, since 642 + 6 + 7 + 3 + 8 + 0 = 666.

64267380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×642673802 = 8260592264128800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (64267387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54679 + ... + 55841.

It is an arithmetic number, because the mean of its divisors is an integer number (2718716).

Almost surely, 264267380 is an apocalyptic number.

64267380 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 64267380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97873776).

64267380 is an abundant number, since it is smaller than the sum of its proper divisors (131480172).

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

64267380 is a wasteful number, since it uses less digits than its factorization.

64267380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1480 counting only the distinct ones).

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

The square root of 64267380 is about 8016.6938322478. The cubic root of 64267380 is about 400.5562677236.

The spelling of 64267380 in words is "sixty-four million, two hundred sixty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 307 614 921 1163 1228 1535 1842 2326 2763 3070 3489 3684 4605 4652 5526 5815 6140 6978 9210 10467 11052 11630 13815 13956 17445 18420 20934 23260 27630 34890 41868 52335 55260 69780 104670 209340 357041 714082 1071123 1428164 1785205 2142246 3213369 3570410 4284492 5355615 6426738 7140820 10711230 12853476 16066845 21422460 32133690 64267380