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66930276 = 2237423101
BaseRepresentation
bin1111111101010…
…0011001100100
311122221102002010
43333110121210
5114113232101
610350314220
71441620000
oct377243144
9148842063
1066930276
1134864786
121a4b8970
1310b3551a
148c63700
155d212d6
hex3fd4664

66930276 has 120 divisors (see below), whose sum is σ = 191991744. Its totient is φ = 18110400.

The previous prime is 66930257. The next prime is 66930313. The reversal of 66930276 is 67203966.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 662626 + ... + 662726.

Almost surely, 266930276 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 66930276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95995872).

66930276 is an abundant number, since it is smaller than the sum of its proper divisors (125061468).

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

66930276 is a wasteful number, since it uses less digits than its factorization.

66930276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 66930276 is about 8181.0925920686. The cubic root of 66930276 is about 406.0138719002.

The spelling of 66930276 in words is "sixty-six million, nine hundred thirty thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 49 69 84 92 98 101 138 147 161 196 202 276 294 303 322 343 404 483 588 606 644 686 707 966 1029 1127 1212 1372 1414 1932 2058 2121 2254 2323 2401 2828 3381 4116 4242 4508 4646 4802 4949 6762 6969 7203 7889 8484 9292 9604 9898 13524 13938 14406 14847 15778 16261 19796 23667 27876 28812 29694 31556 32522 34643 47334 48783 55223 59388 65044 69286 94668 97566 103929 110446 113827 138572 165669 195132 207858 220892 227654 242501 331338 341481 415716 455308 485002 662676 682962 727503 796789 970004 1365924 1455006 1593578 2390367 2910012 3187156 4780734 5577523 9561468 11155046 16732569 22310092 33465138 66930276