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4120146906 = 232352375701
BaseRepresentation
bin1111010110010100…
…0111001111011010
3101122010210011000120
43311211013033122
531414224200111
61520501014110
7204046446051
oct36545071732
911563704016
104120146906
111824796397
1296b9b4336
1350879a465
142b12ab398
15191aa9406
hexf59473da

4120146906 has 32 divisors (see below), whose sum is σ = 8601717888. Its totient is φ = 1313188800.

The previous prime is 4120146881. The next prime is 4120146907. The reversal of 4120146906 is 6096410214.

It is a super-2 number, since 2×41201469062 = 33951221054042745672, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4120146907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 719856 + ... + 725556.

It is an arithmetic number, because the mean of its divisors is an integer number (268803684).

Almost surely, 24120146906 is an apocalyptic number.

4120146906 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

4120146906 is an abundant number, since it is smaller than the sum of its proper divisors (4481570982).

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

4120146906 is a wasteful number, since it uses less digits than its factorization.

4120146906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10966.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 4120146906 is about 64188.3704887420. The cubic root of 4120146906 is about 1603.1379700770.

The spelling of 4120146906 in words is "four billion, one hundred twenty million, one hundred forty-six thousand, nine hundred six".

Divisors: 1 2 3 6 23 46 69 138 5237 5701 10474 11402 15711 17103 31422 34206 120451 131123 240902 262246 361353 393369 722706 786738 29856137 59712274 89568411 179136822 686691151 1373382302 2060073453 4120146906