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66886380 = 223251123783
BaseRepresentation
bin1111111100100…
…1101011101100
311122212011212100
43333021223230
5114110331010
610345335100
71441345011
oct377115354
9148764770
1066886380
1134834800
121a497490
1310b1b552
148c51708
155d132c0
hex3fc9aec

66886380 has 216 divisors, whose sum is σ = 231796656. Its totient is φ = 15586560.

The previous prime is 66886363. The next prime is 66886387. The reversal of 66886380 is 8368866.

66886380 is a `hidden beast` number, since 6 + 6 + 8 + 8 + 638 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (66886387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 805819 + ... + 805901.

Almost surely, 266886380 is an apocalyptic number.

66886380 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 66886380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115898328).

66886380 is an abundant number, since it is smaller than the sum of its proper divisors (164910276).

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

66886380 is a wasteful number, since it uses less digits than its factorization.

66886380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 66886380 is about 8178.4093808026. The cubic root of 66886380 is about 405.9250915372.

It can be divided in two parts, 66 and 886380, that added together give a triangular number (886446 = T1331).

The spelling of 66886380 in words is "sixty-six million, eight hundred eighty-six thousand, three hundred eighty".