Search a number
-
+
4067123076 = 223611812
BaseRepresentation
bin1111001001101011…
…0101111110000100
3101111110000021000000
43302122311332010
531312140414301
61511324321300
7202533655452
oct36232657604
911443007000
104067123076
1117a786a845
129560a3230
134ca7c3903
142a82279d2
1518c0d3786
hexf26b5f84

4067123076 has 63 divisors (see below), whose sum is σ = 10680359893. Its totient is φ = 1354559760.

The previous prime is 4067123069. The next prime is 4067123083. The reversal of 4067123076 is 6703217604.

The square root of 4067123076 is 63774.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (4067123069) and next prime (4067123083).

It can be written as a sum of positive squares in only one way, i.e., 3730033476 + 337089600 = 61074^2 + 18360^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4067123076.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 3443206 + ... + 3444386.

Almost surely, 24067123076 is an apocalyptic number.

4067123076 is the 63774-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4067123076

4067123076 is an abundant number, since it is smaller than the sum of its proper divisors (6613236817).

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

4067123076 is an frugal number, since it uses more digits than its factorization.

4067123076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2384 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The cubic root of 4067123076 is about 1596.2311130067.

Multiplying 4067123076 by its sum of digits (36), we get a square (146416430736 = 3826442).

4067123076 divided by its sum of digits (36) gives a square (112975641 = 106292).

The spelling of 4067123076 in words is "four billion, sixty-seven million, one hundred twenty-three thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1181 1458 2362 2916 3543 4724 7086 10629 14172 21258 31887 42516 63774 95661 127548 191322 286983 382644 573966 860949 1147932 1394761 1721898 2789522 3443796 4184283 5579044 8368566 12552849 16737132 25105698 37658547 50211396 75317094 112975641 150634188 225951282 338926923 451902564 677853846 1016780769 1355707692 2033561538 4067123076