Search a number
-
+
66881010 = 23572361227
BaseRepresentation
bin1111111100100…
…0010111110010
311122211220111110
43333020113302
5114110143020
610345254150
71441323240
oct377102762
9148756443
1066881010
1134830769
121a494356
1310b18c81
148c4d790
155d118e0
hex3fc85f2

66881010 has 128 divisors (see below), whose sum is σ = 195416064. Its totient is φ = 14319360.

The previous prime is 66880999. The next prime is 66881027. The reversal of 66881010 is 1018866.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 294517 + ... + 294743.

It is an arithmetic number, because the mean of its divisors is an integer number (1526688).

Almost surely, 266881010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66881010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97708032).

66881010 is an abundant number, since it is smaller than the sum of its proper divisors (128535054).

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

66881010 is a wasteful number, since it uses less digits than its factorization.

66881010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328.

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 66881010 is about 8178.0810707647. The cubic root of 66881010 is about 405.9142279599.

Adding to 66881010 its reverse (1018866), we get a palindrome (67899876).

The spelling of 66881010 in words is "sixty-six million, eight hundred eighty-one thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 61 69 70 105 115 122 138 161 183 210 227 230 305 322 345 366 427 454 483 610 681 690 805 854 915 966 1135 1281 1362 1403 1589 1610 1830 2135 2270 2415 2562 2806 3178 3405 4209 4270 4767 4830 5221 6405 6810 7015 7945 8418 9534 9821 10442 12810 13847 14030 15663 15890 19642 21045 23835 26105 27694 29463 31326 36547 41541 42090 47670 49105 52210 58926 69235 73094 78315 83082 96929 98210 109641 138470 147315 156630 182735 193858 207705 219282 290787 294630 318481 365470 415410 484645 548205 581574 636962 955443 969290 1096410 1453935 1592405 1910886 2229367 2907870 3184810 4458734 4777215 6688101 9554430 11146835 13376202 22293670 33440505 66881010