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66092868 = 223319311039
BaseRepresentation
bin1111110000011…
…1111101000100
311121100212101000
43330013331010
5113404432433
610320333300
71431531402
oct374077504
9147325330
1066092868
1134342606
121a174230
131090130a
148ac6472
155c08113
hex3f07f44

66092868 has 96 divisors (see below), whose sum is σ = 186368000. Its totient is φ = 20178720.

The previous prime is 66092867. The next prime is 66092881. The reversal of 66092868 is 86829066.

It is not an unprimeable number, because it can be changed into a prime (66092867) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63093 + ... + 64131.

Almost surely, 266092868 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 66092868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93184000).

66092868 is an abundant number, since it is smaller than the sum of its proper divisors (120275132).

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

66092868 is a wasteful number, since it uses less digits than its factorization.

66092868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 66092868 is about 8129.7520257385. The cubic root of 66092868 is about 404.3134596318.

It can be divided in two parts, 660 and 92868, that added together give a triangular number (93528 = T432).

The spelling of 66092868 in words is "sixty-six million, ninety-two thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 31 36 38 54 57 62 76 93 108 114 124 171 186 228 279 342 372 513 558 589 684 837 1026 1039 1116 1178 1674 1767 2052 2078 2356 3117 3348 3534 4156 5301 6234 7068 9351 10602 12468 15903 18702 19741 21204 28053 31806 32209 37404 39482 56106 59223 63612 64418 78964 96627 112212 118446 128836 177669 193254 236892 289881 355338 386508 533007 579762 611971 710676 869643 1066014 1159524 1223942 1739286 1835913 2132028 2447884 3478572 3671826 5507739 7343652 11015478 16523217 22030956 33046434 66092868