Search a number
-
+
1066611360 = 253519116953
BaseRepresentation
bin111111100100110…
…011001010100000
32202100000110201110
4333210303022200
54141023030420
6253501103320
735301022053
oct7744631240
92670013643
101066611360
114a808a9a1
12259257b40
1313cc904a9
14a192aa9a
156398cee0
hex3f9332a0

1066611360 has 96 divisors (see below), whose sum is σ = 3536688960. Its totient is φ = 269457408.

The previous prime is 1066611353. The next prime is 1066611367. The reversal of 1066611360 is 631166601.

1066611360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1066611353) and next prime (1066611367).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10666113602 = 2275319586562099200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1066611367) 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, 49357 + ... + 67596.

It is an arithmetic number, because the mean of its divisors is an integer number (36840510).

Almost surely, 21066611360 is an apocalyptic number.

1066611360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1066611360 is an abundant number, since it is smaller than the sum of its proper divisors (2470077600).

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

1066611360 is a wasteful number, since it uses less digits than its factorization.

1066611360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116990 (or 116982 counting only the distinct ones).

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

The square root of 1066611360 is about 32659.0165191789. The cubic root of 1066611360 is about 1021.7282503777.

Adding to 1066611360 its reverse (631166601), we get a palindrome (1697777961).

The spelling of 1066611360 in words is "one billion, sixty-six million, six hundred eleven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 116953 233906 350859 467812 584765 701718 935624 1169530 1403436 1754295 1871248 2222107 2339060 2806872 3508590 3742496 4444214 4678120 5613744 6666321 7017180 8888428 9356240 11110535 11227488 13332642 14034360 17776856 18712480 22221070 26665284 28068720 33331605 35553712 44442140 53330568 56137440 66663210 71107424 88884280 106661136 133326420 177768560 213322272 266652840 355537120 533305680 1066611360