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66492160 = 285741181
BaseRepresentation
bin1111110110100…
…1011100000000
311122010011002121
43331221130000
5114010222120
610333054024
71435113460
oct375513400
9148104077
1066492160
11345955a9
121a327314
1310a10c97
148b8bba0
155c865aa
hex3f69700

66492160 has 144 divisors (see below), whose sum is σ = 187492032. Its totient is φ = 22118400.

The previous prime is 66492143. The next prime is 66492161. The reversal of 66492160 is 6129466.

66492160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66492161) 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 15 ways as a sum of consecutive naturals, for example, 367270 + ... + 367450.

It is an arithmetic number, because the mean of its divisors is an integer number (1302028).

Almost surely, 266492160 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 66492160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93746016).

66492160 is an abundant number, since it is smaller than the sum of its proper divisors (120999872).

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

66492160 is a wasteful number, since it uses less digits than its factorization.

66492160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 66492160 is about 8154.2724997390. The cubic root of 66492160 is about 405.1260289586.

The spelling of 66492160 in words is "sixty-six million, four hundred ninety-two thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 56 64 70 80 82 112 128 140 160 164 181 205 224 256 280 287 320 328 362 410 448 560 574 640 656 724 820 896 905 1120 1148 1267 1280 1312 1435 1448 1640 1792 1810 2240 2296 2534 2624 2870 2896 3280 3620 4480 4592 5068 5248 5740 5792 6335 6560 7240 7421 8960 9184 10136 10496 11480 11584 12670 13120 14480 14842 18368 20272 22960 23168 25340 26240 28960 29684 36736 37105 40544 45920 46336 50680 51947 52480 57920 59368 73472 74210 81088 91840 101360 103894 115840 118736 148420 162176 183680 202720 207788 231680 237472 259735 296840 324352 367360 405440 415576 474944 519470 593680 810880 831152 949888 1038940 1187360 1621760 1662304 1899776 2077880 2374720 3324608 4155760 4749440 6649216 8311520 9498880 13298432 16623040 33246080 66492160