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4127994 = 2321322359
BaseRepresentation
bin1111101111110011111010
321202201112200
433233303322
52024043434
6224251030
750041653
oct17576372
97681480
104127994
11236a472
121470a76
13b16c00
1479652a
15568199
hex3efcfa

4127994 has 72 divisors (see below), whose sum is σ = 10277280. Its totient is φ = 1194336.

The previous prime is 4127993. The next prime is 4127999. The reversal of 4127994 is 4997214.

It is not an unprimeable number, because it can be changed into a prime (4127993) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 69937 + ... + 69995.

It is an arithmetic number, because the mean of its divisors is an integer number (142740).

Almost surely, 24127994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4127994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5138640).

4127994 is an abundant number, since it is smaller than the sum of its proper divisors (6149286).

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

4127994 is a wasteful number, since it uses less digits than its factorization.

4127994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 100 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 4127994 is about 2031.7465393105. The cubic root of 4127994 is about 160.4155085616.

The spelling of 4127994 in words is "four million, one hundred twenty-seven thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 59 69 78 117 118 138 169 177 207 234 299 338 354 414 507 531 598 767 897 1014 1062 1357 1521 1534 1794 2301 2691 2714 3042 3887 4071 4602 5382 6903 7774 8142 9971 11661 12213 13806 17641 19942 23322 24426 29913 34983 35282 52923 59826 69966 89739 105846 158769 179478 229333 317538 458666 687999 1375998 2063997 4127994