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4006346920 = 235831206731
BaseRepresentation
bin1110111011001100…
…0000000010101000
3101100012122111210021
43232303000002220
531201111100140
61501313530224
7201165246502
oct35663000250
911305574707
104006346920
111776529814
12939873974
134bb0345a4
142a0126d72
15186acab4a
hexeecc00a8

4006346920 has 32 divisors (see below), whose sum is σ = 9122893920. Its totient is φ = 1583229760.

The previous prime is 4006346917. The next prime is 4006346923. The reversal of 4006346920 is 296436004.

It is an interprime number because it is at equal distance from previous prime (4006346917) and next prime (4006346923).

It is not an unprimeable number, because it can be changed into a prime (4006346923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 600046 + ... + 606685.

It is an arithmetic number, because the mean of its divisors is an integer number (285090435).

Almost surely, 24006346920 is an apocalyptic number.

4006346920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4006346920 is an abundant number, since it is smaller than the sum of its proper divisors (5116547000).

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

4006346920 is a wasteful number, since it uses less digits than its factorization.

4006346920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206825 (or 1206821 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 4006346920 is about 63295.7101231987. The cubic root of 4006346920 is about 1588.2402005809.

The spelling of 4006346920 in words is "four billion, six million, three hundred forty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 83 166 332 415 664 830 1660 3320 1206731 2413462 4826924 6033655 9653848 12067310 24134620 48269240 100158673 200317346 400634692 500793365 801269384 1001586730 2003173460 4006346920