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1066645160 = 235727114057
BaseRepresentation
bin111111100100111…
…011011010101000
32202100002012002022
4333210323122220
54141030121120
6253501524012
735301222440
oct7744733250
92670065068
101066645160
114a8103329
12259273608
1313cca29a9
14a1939120
1563998025
hex3f93b6a8

1066645160 has 64 divisors (see below), whose sum is σ = 2753118720. Its totient is φ = 364331520.

The previous prime is 1066645157. The next prime is 1066645169. The reversal of 1066645160 is 615466601.

It is a super-2 number, since 2×10666451602 = 2275463794702851200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1066645160.

It is not an unprimeable number, because it can be changed into a prime (1066645169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68852 + ... + 82908.

It is an arithmetic number, because the mean of its divisors is an integer number (43017480).

Almost surely, 21066645160 is an apocalyptic number.

1066645160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066645160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376559360).

1066645160 is an abundant number, since it is smaller than the sum of its proper divisors (1686473560).

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

1066645160 is a wasteful number, since it uses less digits than its factorization.

1066645160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14346 (or 14342 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 1066645160 is about 32659.5339832031. The cubic root of 1066645160 is about 1021.7390428279.

The spelling of 1066645160 in words is "one billion, sixty-six million, six hundred forty-five thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 271 280 542 1084 1355 1897 2168 2710 3794 5420 7588 9485 10840 14057 15176 18970 28114 37940 56228 70285 75880 98399 112456 140570 196798 281140 393596 491995 562280 787192 983990 1967980 3809447 3935960 7618894 15237788 19047235 26666129 30475576 38094470 53332258 76188940 106664516 133330645 152377880 213329032 266661290 533322580 1066645160