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66886260 = 22357712243
BaseRepresentation
bin1111111100100…
…1101001110100
311122212011200220
43333021221310
5114110330020
610345334340
71441344450
oct377115164
9148764626
1066886260
1134834701
121a4973b0
1310b1b48c
148c51660
155d13240
hex3fc9a74

66886260 has 96 divisors (see below), whose sum is σ = 217147392. Its totient is φ = 15066240.

The previous prime is 66886247. The next prime is 66886283. The reversal of 66886260 is 6268866.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28699 + ... + 30941.

It is an arithmetic number, because the mean of its divisors is an integer number (2261952).

Almost surely, 266886260 is an apocalyptic number.

66886260 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 66886260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108573696).

66886260 is an abundant number, since it is smaller than the sum of its proper divisors (150261132).

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

66886260 is a wasteful number, since it uses less digits than its factorization.

66886260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2333 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 66886260 is about 8178.4020444094. The cubic root of 66886260 is about 405.9248487821.

The spelling of 66886260 in words is "sixty-six million, eight hundred eighty-six thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 71 84 105 140 142 210 213 284 355 420 426 497 710 852 994 1065 1420 1491 1988 2130 2243 2485 2982 4260 4486 4970 5964 6729 7455 8972 9940 11215 13458 14910 15701 22430 26916 29820 31402 33645 44860 47103 62804 67290 78505 94206 134580 157010 159253 188412 235515 314020 318506 471030 477759 637012 796265 942060 955518 1114771 1592530 1911036 2229542 2388795 3185060 3344313 4459084 4777590 5573855 6688626 9555180 11147710 13377252 16721565 22295420 33443130 66886260