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64812132 = 2232711103227
BaseRepresentation
bin1111011100111…
…1010001100100
311111221210112100
43313033101210
5113042442012
610233052100
71414615440
oct367172144
9144853470
1064812132
1133648350
1219857030
1310573398
148871820
155a538dc
hex3dcf464

64812132 has 144 divisors (see below), whose sum is σ = 207148032. Its totient is φ = 16597440.

The previous prime is 64812113. The next prime is 64812133. The reversal of 64812132 is 23121846.

64812132 is a `hidden beast` number, since 648 + 1 + 2 + 13 + 2 = 666.

It is a super-2 number, since 2×648121322 = 8401224908770848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64812096 and 64812105.

It is not an unprimeable number, because it can be changed into a prime (64812133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285403 + ... + 285629.

It is an arithmetic number, because the mean of its divisors is an integer number (1438528).

Almost surely, 264812132 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 64812132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103574016).

64812132 is an abundant number, since it is smaller than the sum of its proper divisors (142335900).

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

64812132 is a wasteful number, since it uses less digits than its factorization.

64812132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 353 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 64812132 is about 8050.5982386404. The cubic root of 64812132 is about 401.6848350300.

Adding to 64812132 its reverse (23121846), we get a palindrome (87933978).

The spelling of 64812132 in words is "sixty-four million, eight hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 103 126 132 154 198 206 227 231 252 308 309 396 412 454 462 618 681 693 721 908 924 927 1133 1236 1362 1386 1442 1589 1854 2043 2163 2266 2497 2724 2772 2884 3178 3399 3708 4086 4326 4532 4767 4994 6356 6489 6798 7491 7931 8172 8652 9534 9988 10197 12978 13596 14301 14982 15862 17479 19068 20394 22473 23381 23793 25956 28602 29964 31724 34958 40788 44946 46762 47586 52437 57204 69916 70143 71379 89892 93524 95172 104874 140286 142758 157311 163667 209748 210429 257191 280572 285516 314622 327334 420858 491001 514382 629244 654668 771573 841716 982002 1028764 1473003 1543146 1800337 1964004 2314719 2946006 3086292 3600674 4629438 5401011 5892012 7201348 9258876 10802022 16203033 21604044 32406066 64812132