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66114930 = 23573767127
BaseRepresentation
bin1111110000110…
…1010101110010
311121101222122010
43330031111302
5113411134210
610321023350
71431652620
oct374152562
9147358563
1066114930
1134358142
121a184b56
131090b37b
148ad0510
155c0e920
hex3f0d572

66114930 has 128 divisors (see below), whose sum is σ = 190513152. Its totient is φ = 14370048.

The previous prime is 66114929. The next prime is 66114941. The reversal of 66114930 is 3941166.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 520527 + ... + 520653.

It is an arithmetic number, because the mean of its divisors is an integer number (1488384).

Almost surely, 266114930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66114930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95256576).

66114930 is an abundant number, since it is smaller than the sum of its proper divisors (124398222).

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

66114930 is a wasteful number, since it uses less digits than its factorization.

66114930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248.

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 66114930 is about 8131.1087804801. The cubic root of 66114930 is about 404.3584416472.

The spelling of 66114930 in words is "sixty-six million, one hundred fourteen thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 67 70 74 105 111 127 134 185 201 210 222 254 259 335 370 381 402 469 518 555 635 670 762 777 889 938 1005 1110 1270 1295 1407 1554 1778 1905 2010 2345 2479 2590 2667 2814 3810 3885 4445 4690 4699 4958 5334 7035 7437 7770 8509 8890 9398 12395 13335 14070 14097 14874 17018 17353 23495 24790 25527 26670 28194 32893 34706 37185 42545 46990 51054 52059 59563 65786 70485 74370 85090 86765 98679 104118 119126 127635 140970 164465 173530 178689 197358 255270 260295 297815 314833 328930 357378 493395 520590 595630 629666 893445 944499 986790 1574165 1786890 1888998 2203831 3148330 4407662 4722495 6611493 9444990 11019155 13222986 22038310 33057465 66114930