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66140052 = 22311341101
BaseRepresentation
bin1111110001001…
…1011110010100
311121110021002120
43330103132110
5113412440202
610321335540
71432116066
oct374233624
9147407076
1066140052
1134375000
121a1975b0
1310919934
148ad9736
155c170bc
hex3f13794

66140052 has 96 divisors (see below), whose sum is σ = 175609728. Its totient is φ = 19360000.

The previous prime is 66140033. The next prime is 66140069. The reversal of 66140052 is 25004166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 654802 + ... + 654902.

It is an arithmetic number, because the mean of its divisors is an integer number (1829268).

Almost surely, 266140052 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 66140052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87804864).

66140052 is an abundant number, since it is smaller than the sum of its proper divisors (109469676).

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

66140052 is a wasteful number, since it uses less digits than its factorization.

66140052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 66140052 is about 8132.6534415282. The cubic root of 66140052 is about 404.4096504862.

The spelling of 66140052 in words is "sixty-six million, one hundred forty thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 101 121 123 132 164 202 242 246 303 363 404 451 484 492 606 726 902 1111 1212 1331 1353 1452 1804 2222 2662 2706 3333 3993 4141 4444 4961 5324 5412 6666 7986 8282 9922 12221 12423 13332 14883 15972 16564 19844 24442 24846 29766 36663 45551 48884 49692 54571 59532 73326 91102 109142 134431 136653 146652 163713 182204 218284 268862 273306 327426 403293 501061 537724 546612 654852 806586 1002122 1503183 1613172 2004244 3006366 5511671 6012732 11023342 16535013 22046684 33070026 66140052