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1061138412 = 2232211139697
BaseRepresentation
bin111111001111111…
…010111111101100
32201221201102020200
4333033322333230
54133122412122
6253143513500
735203345665
oct7717727754
92657642220
101061138412
114a4a91aa4
12257458890
1313bac5369
14a0d0436c
156325b5ac
hex3f3fafec

1061138412 has 36 divisors (see below), whose sum is σ = 2695053816. Its totient is φ = 352033920.

The previous prime is 1061138363. The next prime is 1061138413. The reversal of 1061138412 is 2148311601.

It is a happy number.

1061138412 is a `hidden beast` number, since 1 + 0 + 611 + 3 + 8 + 41 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10611384122 = 2252029458843763488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1061138413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62253 + ... + 77444.

It is an arithmetic number, because the mean of its divisors is an integer number (74862606).

Almost surely, 21061138412 is an apocalyptic number.

1061138412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1061138412 is an abundant number, since it is smaller than the sum of its proper divisors (1633915404).

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

1061138412 is a wasteful number, since it uses less digits than its factorization.

1061138412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139918 (or 139913 counting only the distinct ones).

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

The square root of 1061138412 is about 32575.1195239557. The cubic root of 1061138412 is about 1019.9777042416.

The spelling of 1061138412 in words is "one billion, sixty-one million, one hundred thirty-eight thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 211 422 633 844 1266 1899 2532 3798 7596 139697 279394 419091 558788 838182 1257273 1676364 2514546 5029092 29476067 58952134 88428201 117904268 176856402 265284603 353712804 530569206 1061138412