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1066412040 = 2335174312157
BaseRepresentation
bin111111100100000…
…010100000001000
32202022122100022020
4333210002200020
54141000141130
6253452524440
735266232001
oct7744024010
92668570266
101066412040
114a7a64171
12259180720
1313cc20855
14a18b81a8
156394de10
hex3f902808

1066412040 has 128 divisors (see below), whose sum is σ = 3466488960. Its totient is φ = 261402624.

The previous prime is 1066412027. The next prime is 1066412063. The reversal of 1066412040 is 402146601.

It is a super-2 number, since 2×10664120402 = 2274469278113923200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1066412040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81642 + ... + 93798.

It is an arithmetic number, because the mean of its divisors is an integer number (27081945).

Almost surely, 21066412040 is an apocalyptic number.

1066412040 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 1066412040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733244480).

1066412040 is an abundant number, since it is smaller than the sum of its proper divisors (2400076920).

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

1066412040 is a wasteful number, since it uses less digits than its factorization.

1066412040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12231 (or 12227 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1066412040 is about 32655.9648456450. The cubic root of 1066412040 is about 1021.6646022145.

Adding to 1066412040 its reverse (402146601), we get a palindrome (1468558641).

It can be divided in two parts, 106 and 6412040, that added together give a palindrome (6412146).

The spelling of 1066412040 in words is "one billion, sixty-six million, four hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 43 51 60 68 85 86 102 120 129 136 170 172 204 215 255 258 340 344 408 430 510 516 645 680 731 860 1020 1032 1290 1462 1720 2040 2193 2580 2924 3655 4386 5160 5848 7310 8772 10965 12157 14620 17544 21930 24314 29240 36471 43860 48628 60785 72942 87720 97256 121570 145884 182355 206669 243140 291768 364710 413338 486280 522751 620007 729420 826676 1033345 1045502 1240014 1458840 1568253 1653352 2066690 2091004 2480028 2613755 3100035 3136506 4133380 4182008 4960056 5227510 6200070 6273012 7841265 8266760 8886767 10455020 12400140 12546024 15682530 17773534 20910040 24800280 26660301 31365060 35547068 44433835 53320602 62730120 71094136 88867670 106641204 133301505 177735340 213282408 266603010 355470680 533206020 1066412040