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66690792 = 233271131171
BaseRepresentation
bin1111111001100…
…1111011101000
311122111020120100
43332121323220
5114033101132
610341225400
71436601540
oct376317350
9148436510
1066690792
1134710863
121a402260
1310a8050c
148c00320
155cc537c
hex3f99ee8

66690792 has 96 divisors (see below), whose sum is σ = 208428480. Its totient is φ = 18869760.

The previous prime is 66690781. The next prime is 66690859. The reversal of 66690792 is 29709666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 56367 + ... + 57537.

It is an arithmetic number, because the mean of its divisors is an integer number (2171130).

Almost surely, 266690792 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 66690792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104214240).

66690792 is an abundant number, since it is smaller than the sum of its proper divisors (141737688).

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

66690792 is a wasteful number, since it uses less digits than its factorization.

66690792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 66690792 is about 8166.4430445574. The cubic root of 66690792 is about 405.5290388562.

The spelling of 66690792 in words is "sixty-six million, six hundred ninety thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 113 126 168 226 252 339 452 504 678 791 904 1017 1171 1356 1582 2034 2342 2373 2712 3164 3513 4068 4684 4746 6328 7026 7119 8136 8197 9368 9492 10539 14052 14238 16394 18984 21078 24591 28104 28476 32788 42156 49182 56952 65576 73773 84312 98364 132323 147546 196728 264646 295092 396969 529292 590184 793938 926261 1058584 1190907 1587876 1852522 2381814 2778783 3175752 3705044 4763628 5557566 7410088 8336349 9527256 11115132 16672698 22230264 33345396 66690792