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3906840996 = 2232235979973
BaseRepresentation
bin1110100011011101…
…1010100110100100
3101002021102002022200
43220313122212210
531000122402441
61443401054500
7165546412662
oct35067324644
911067362280
103906840996
111725345513
12910487430
134a3534946
14290c23c32
1517cec27b6
hexe8dda9a4

3906840996 has 72 divisors (see below), whose sum is σ = 10479792960. Its totient is φ = 1224531264.

The previous prime is 3906840979. The next prime is 3906841007. The reversal of 3906840996 is 6990486093.

It is a happy number.

3906840996 is a `hidden beast` number, since 3 + 90 + 68 + 409 + 96 = 666.

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 23 ways as a sum of consecutive naturals, for example, 8866 + ... + 88838.

It is an arithmetic number, because the mean of its divisors is an integer number (145552680).

Almost surely, 23906840996 is an apocalyptic number.

3906840996 is a gapful number since it is divisible by the number (36) 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 3906840996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5239896480).

3906840996 is an abundant number, since it is smaller than the sum of its proper divisors (6572951964).

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

3906840996 is a wasteful number, since it uses less digits than its factorization.

3906840996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80065 (or 80060 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 3906840996 is about 62504.7277891841. The cubic root of 3906840996 is about 1574.9807332488.

The spelling of 3906840996 in words is "three billion, nine hundred six million, eight hundred forty thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 59 69 92 118 138 177 207 236 276 354 414 531 708 828 1062 1357 2124 2714 4071 5428 8142 12213 16284 24426 48852 79973 159946 239919 319892 479838 719757 959676 1439514 1839379 2879028 3678758 4718407 5518137 7357516 9436814 11036274 14155221 16554411 18873628 22072548 28310442 33108822 42465663 56620884 66217644 84931326 108523361 169862652 217046722 325570083 434093444 651140166 976710249 1302280332 1953420498 3906840996