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66690176 = 277531
BaseRepresentation
bin1111111001100…
…1110010000000
311122111012201112
43332121302000
5114033041201
610341222452
71436600000
oct376316200
9148435645
1066690176
1134710353
121a401a28
1310a80157
148c00000
155cc50bb
hex3f99c80

66690176 has 96 divisors (see below), whose sum is σ = 160001280. Its totient is φ = 27659520.

The previous prime is 66690163. The next prime is 66690181. The reversal of 66690176 is 67109666.

66690176 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2151281 + ... + 2151311.

It is an arithmetic number, because the mean of its divisors is an integer number (1666680).

Almost surely, 266690176 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 66690176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80000640).

66690176 is an abundant number, since it is smaller than the sum of its proper divisors (93311104).

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

66690176 is an frugal number, since it uses more digits than its factorization.

66690176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 41.

The square root of 66690176 is about 8166.4053291519. The cubic root of 66690176 is about 405.5277902748.

It can be divided in two parts, 66690 and 176, that added together give a palindrome (66866).

The spelling of 66690176 in words is "sixty-six million, six hundred ninety thousand, one hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 64 98 112 124 128 196 217 224 248 343 392 434 448 496 686 784 868 896 992 1372 1519 1568 1736 1984 2401 2744 3038 3136 3472 3968 4802 5488 6076 6272 6944 9604 10633 10976 12152 13888 16807 19208 21266 21952 24304 27776 33614 38416 42532 43904 48608 67228 74431 76832 85064 97216 134456 148862 153664 170128 194432 268912 297724 307328 340256 521017 537824 595448 680512 1042034 1075648 1190896 1361024 2084068 2151296 2381792 4168136 4763584 8336272 9527168 16672544 33345088 66690176