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1912105936 = 241373125929
BaseRepresentation
bin111000111111000…
…0110101111010000
311221020222001020101
41301332012233100
512403444342221
6513423022144
765245426606
oct16176065720
94836861211
101912105936
118a1374544
1245443a954
132461b1b40
14141d39876
15b2ceed91
hex71f86bd0

1912105936 has 40 divisors (see below), whose sum is σ = 4044367880. Its totient is φ = 870414336.

The previous prime is 1912105927. The next prime is 1912105961. The reversal of 1912105936 is 6395012191.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 434472336 + 1477633600 = 20844^2 + 38440^2 .

It is a super-2 number, since 2×19121059362 = 7312298220972872192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1912105895 and 1912105904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47781 + ... + 78148.

It is an arithmetic number, because the mean of its divisors is an integer number (101109197).

Almost surely, 21912105936 is an apocalyptic number.

1912105936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1912105936 is an abundant number, since it is smaller than the sum of its proper divisors (2132261944).

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

1912105936 is a wasteful number, since it uses less digits than its factorization.

1912105936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126023 (or 126017 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 37.

The square root of 1912105936 is about 43727.6335513368. The cubic root of 1912105936 is about 1241.1872811478.

The spelling of 1912105936 in words is "one billion, nine hundred twelve million, one hundred five thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 73 104 146 208 292 584 949 1168 1898 3796 7592 15184 125929 251858 503716 1007432 1637077 2014864 3274154 6548308 9192817 13096616 18385634 26193232 36771268 73542536 119506621 147085072 239013242 478026484 956052968 1912105936