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66774132 = 22341910847
BaseRepresentation
bin1111111010111…
…0010001110100
311122122110220000
43332232101310
5114043233012
610343111300
71440366525
oct376562164
9148573800
1066774132
1134768437
121a442530
1310aac429
148c2284c
155cdeddc
hex3fae474

66774132 has 60 divisors (see below), whose sum is σ = 183765120. Its totient is φ = 21084624.

The previous prime is 66774109. The next prime is 66774157. The reversal of 66774132 is 23147766.

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

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, 733 + ... + 11579.

It is an arithmetic number, because the mean of its divisors is an integer number (3062752).

Almost surely, 266774132 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 66774132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91882560).

66774132 is an abundant number, since it is smaller than the sum of its proper divisors (116990988).

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

66774132 is a wasteful number, since it uses less digits than its factorization.

66774132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10882 (or 10871 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 66774132 is about 8171.5440401432. The cubic root of 66774132 is about 405.6978913610.

The spelling of 66774132 in words is "sixty-six million, seven hundred seventy-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 684 1026 1539 2052 3078 6156 10847 21694 32541 43388 65082 97623 130164 195246 206093 292869 390492 412186 585738 618279 824372 878607 1171476 1236558 1757214 1854837 2473116 3514428 3709674 5564511 7419348 11129022 16693533 22258044 33387066 66774132