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1386410112 = 27321770793
BaseRepresentation
bin101001010100010…
…1111000010000000
310120121202221010200
41102220233002000
510314410110422
6345323325200
746233201663
oct12250570200
93517687120
101386410112
1165165748a
12328380800
13191300c19
14d21b56da
1581aad2ac
hex52a2f080

1386410112 has 96 divisors (see below), whose sum is σ = 4224277980. Its totient is φ = 434946048.

The previous prime is 1386410111. The next prime is 1386410147. The reversal of 1386410112 is 2110146831.

It is a happy number.

1386410112 is a `hidden beast` number, since 1 + 3 + 8 + 641 + 0 + 1 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1350121536 + 36288576 = 36744^2 + 6024^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1386410111) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 15813 + ... + 54980.

Almost surely, 21386410112 is an apocalyptic number.

1386410112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1386410112 is an abundant number, since it is smaller than the sum of its proper divisors (2837867868).

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

1386410112 is a wasteful number, since it uses less digits than its factorization.

1386410112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70830 (or 70815 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1386410112 is about 37234.5284917105. The cubic root of 1386410112 is about 1115.0574382390.

Adding to 1386410112 its reverse (2110146831), we get a palindrome (3496556943).

The spelling of 1386410112 in words is "one billion, three hundred eighty-six million, four hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1632 2176 2448 3264 4896 6528 9792 19584 70793 141586 212379 283172 424758 566344 637137 849516 1132688 1203481 1274274 1699032 2265376 2406962 2548548 3398064 3610443 4530752 4813924 5097096 6796128 7220886 9061504 9627848 10194192 10831329 13592256 14441772 19255696 20388384 21662658 27184512 28883544 38511392 40776768 43325316 57767088 77022784 81553536 86650632 115534176 154045568 173301264 231068352 346602528 462136704 693205056 1386410112