Search a number
-
+
66130704 = 24322341487
BaseRepresentation
bin1111110001000…
…1001100010000
311121102210021100
43330101030100
5113412140304
610321224400
71432046613
oct374211420
9147383240
1066130704
1134368a82
121a192100
13109155c3
148ad617a
155c14439
hex3f11310

66130704 has 120 divisors (see below), whose sum is σ = 198237312. Its totient is φ = 20528640.

The previous prime is 66130679. The next prime is 66130709. The reversal of 66130704 is 40703166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66130709) 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 23 ways as a sum of consecutive naturals, for example, 135549 + ... + 136035.

Almost surely, 266130704 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 66130704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99118656).

66130704 is an abundant number, since it is smaller than the sum of its proper divisors (132106608).

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

66130704 is a wasteful number, since it uses less digits than its factorization.

66130704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 66130704 is about 8132.0787010456. The cubic root of 66130704 is about 404.3905969807.

The spelling of 66130704 in words is "sixty-six million, one hundred thirty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 41 46 48 69 72 82 92 123 138 144 164 184 207 246 276 328 368 369 414 487 492 552 656 738 828 943 974 984 1104 1461 1476 1656 1886 1948 1968 2829 2922 2952 3312 3772 3896 4383 5658 5844 5904 7544 7792 8487 8766 11201 11316 11688 15088 16974 17532 19967 22402 22632 23376 33603 33948 35064 39934 44804 45264 59901 67206 67896 70128 79868 89608 100809 119802 134412 135792 159736 179216 179703 201618 239604 268824 319472 359406 403236 459241 479208 537648 718812 806472 918482 958416 1377723 1437624 1612944 1836964 2755446 2875248 3673928 4133169 5510892 7347856 8266338 11021784 16532676 22043568 33065352 66130704