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66554136 = 2334119337
BaseRepresentation
bin1111110111100…
…0100100011000
311122020022010000
43331320210120
5114014213021
610334253000
71435462245
oct375704430
9148208100
1066554136
1134628120
121a357160
1310a3325c
148ba65cc
155c99b26
hex3f78918

66554136 has 80 divisors (see below), whose sum is σ = 203381640. Its totient is φ = 20165760.

The previous prime is 66554119. The next prime is 66554149. The reversal of 66554136 is 63145566.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 66554136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2460 + ... + 11796.

Almost surely, 266554136 is an apocalyptic number.

66554136 is a gapful number since it is divisible by the number (66) 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 66554136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101690820).

66554136 is an abundant number, since it is smaller than the sum of its proper divisors (136827504).

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

66554136 is a wasteful number, since it uses less digits than its factorization.

66554136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9366 (or 9353 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 66554136 is about 8158.0718310150. The cubic root of 66554136 is about 405.2518598029.

The spelling of 66554136 in words is "sixty-six million, five hundred fifty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 594 648 792 891 1188 1782 2376 3564 7128 9337 18674 28011 37348 56022 74696 84033 102707 112044 168066 205414 224088 252099 308121 336132 410828 504198 616242 672264 756297 821656 924363 1008396 1232484 1512594 1848726 2016792 2464968 2773089 3025188 3697452 5546178 6050376 7394904 8319267 11092356 16638534 22184712 33277068 66554136