Search a number
-
+
4084023960 = 2332511344511
BaseRepresentation
bin1111001101101101…
…0100001010011000
3101112121210220122200
43303123110022120
531331002231320
61513130450200
7203130426252
oct36333241230
911477726580
104084023960
111806363715
1295b893960
13501160533
142aa586cd2
1518d821290
hexf36d4298

4084023960 has 48 divisors (see below), whose sum is σ = 13273079040. Its totient is φ = 1089072960.

The previous prime is 4084023947. The next prime is 4084023973. The reversal of 4084023960 is 693204804.

It is a happy number.

4084023960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4084023947) and next prime (4084023973).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5671896 + ... + 5672615.

It is an arithmetic number, because the mean of its divisors is an integer number (276522480).

Almost surely, 24084023960 is an apocalyptic number.

4084023960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4084023960 is an abundant number, since it is smaller than the sum of its proper divisors (9189055080).

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

4084023960 is a wasteful number, since it uses less digits than its factorization.

4084023960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11344528 (or 11344521 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4084023960 is about 63906.3686967113. The cubic root of 4084023960 is about 1598.4390975265.

The spelling of 4084023960 in words is "four billion, eighty-four million, twenty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 11344511 22689022 34033533 45378044 56722555 68067066 90756088 102100599 113445110 136134132 170167665 204201198 226890220 272268264 340335330 408402396 453780440 510502995 680670660 816804792 1021005990 1361341320 2042011980 4084023960