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66123460 = 22513263967
BaseRepresentation
bin1111110000111…
…1011011000100
311121102102100001
43330033123010
5113411422320
610321131044
71432016524
oct374173304
9147372301
1066123460
1134363597
121a189a84
1310912210
148ad3684
155c1220a
hex3f0f6c4

66123460 has 48 divisors (see below), whose sum is σ = 150264576. Its totient is φ = 24296832.

The previous prime is 66123443. The next prime is 66123479. The reversal of 66123460 is 6432166.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67897 + ... + 68863.

It is an arithmetic number, because the mean of its divisors is an integer number (3130512).

Almost surely, 266123460 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 66123460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75132288).

66123460 is an abundant number, since it is smaller than the sum of its proper divisors (84141116).

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

66123460 is a wasteful number, since it uses less digits than its factorization.

66123460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 66123460 is about 8131.6332922728. The cubic root of 66123460 is about 404.3758307059.

The spelling of 66123460 in words is "sixty-six million, one hundred twenty-three thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 263 526 967 1052 1315 1934 2630 3419 3868 4835 5260 6838 9670 12571 13676 17095 19340 25142 34190 50284 62855 68380 125710 251420 254321 508642 1017284 1271605 2543210 3306173 5086420 6612346 13224692 16530865 33061730 66123460