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64271640 = 23351513547
BaseRepresentation
bin1111010100101…
…1010100011000
311110221100010010
43311023110120
5112423143030
610213321520
71410204606
oct365132430
9143840103
1064271640
1133309264
12196362a0
1310414374
148770876
1559986b0
hex3d4b518

64271640 has 64 divisors (see below), whose sum is σ = 194146560. Its totient is φ = 17020800.

The previous prime is 64271633. The next prime is 64271651. The reversal of 64271640 is 4617246.

64271640 is digitally balanced in base 2, 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).

It is a junction number, because it is equal to n+sod(n) for n = 64271598 and 64271607.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 16347 + ... + 19893.

It is an arithmetic number, because the mean of its divisors is an integer number (3033540).

Almost surely, 264271640 is an apocalyptic number.

64271640 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 64271640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97073280).

64271640 is an abundant number, since it is smaller than the sum of its proper divisors (129874920).

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

64271640 is a wasteful number, since it uses less digits than its factorization.

64271640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3712 (or 3708 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 64271640 is about 8016.9595234104. The cubic root of 64271640 is about 400.5651178951.

Adding to 64271640 its reverse (4617246), we get a palindrome (68888886).

The spelling of 64271640 in words is "sixty-four million, two hundred seventy-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 151 302 453 604 755 906 1208 1510 1812 2265 3020 3547 3624 4530 6040 7094 9060 10641 14188 17735 18120 21282 28376 35470 42564 53205 70940 85128 106410 141880 212820 425640 535597 1071194 1606791 2142388 2677985 3213582 4284776 5355970 6427164 8033955 10711940 12854328 16067910 21423880 32135820 64271640