Search a number
-
+
66112410 = 23571361397
BaseRepresentation
bin1111110000110…
…0101110011010
311121101212011210
43330030232122
5113411044120
610321003550
71431642360
oct374145632
9147355153
1066112410
1134356261
121a1835b6
131090a190
148acd630
155c0dce0
hex3f0cb9a

66112410 has 128 divisors (see below), whose sum is σ = 198987264. Its totient is φ = 13685760.

The previous prime is 66112379. The next prime is 66112433. The reversal of 66112410 is 1421166.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 166332 + ... + 166728.

It is an arithmetic number, because the mean of its divisors is an integer number (1554588).

Almost surely, 266112410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66112410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99493632).

66112410 is an abundant number, since it is smaller than the sum of its proper divisors (132874854).

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

66112410 is a wasteful number, since it uses less digits than its factorization.

66112410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 66112410 is about 8130.9538185873. The cubic root of 66112410 is about 404.3533041479.

Adding to 66112410 its reverse (1421166), we get a palindrome (67533576).

The spelling of 66112410 in words is "sixty-six million, one hundred twelve thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 61 65 70 78 91 105 122 130 182 183 195 210 273 305 366 390 397 427 455 546 610 793 794 854 910 915 1191 1281 1365 1586 1830 1985 2135 2379 2382 2562 2730 2779 3965 3970 4270 4758 5161 5551 5558 5955 6405 7930 8337 10322 11102 11895 11910 12810 13895 15483 16653 16674 23790 24217 25805 27755 27790 30966 33306 36127 41685 48434 51610 55510 72254 72651 77415 83265 83370 108381 121085 145302 154830 166530 169519 180635 216762 242170 314821 339038 361270 363255 508557 541905 629642 726510 847595 944463 1017114 1083810 1574105 1695190 1888926 2203747 2542785 3148210 4407494 4722315 5085570 6611241 9444630 11018735 13222482 22037470 33056205 66112410