Search a number
-
+
4004141320 = 235195268607
BaseRepresentation
bin1110111010101010…
…0101100100001000
3101100001111110021101
43232222211210020
531200030010240
61501154351144
7201140432254
oct35652454410
911301443241
104004141320
111775262703
12938b8b4b4
134ba7416ba
1429db11264
151867e239a
hexeeaa5908

4004141320 has 32 divisors (see below), whose sum is σ = 9483494400. Its totient is φ = 1517358528.

The previous prime is 4004141311. The next prime is 4004141329. The reversal of 4004141320 is 231414004.

It is an interprime number because it is at equal distance from previous prime (4004141311) and next prime (4004141329).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (4004141329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2633544 + ... + 2635063.

It is an arithmetic number, because the mean of its divisors is an integer number (296359200).

Almost surely, 24004141320 is an apocalyptic number.

4004141320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004141320 is an abundant number, since it is smaller than the sum of its proper divisors (5479353080).

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

4004141320 is a wasteful number, since it uses less digits than its factorization.

4004141320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5268637 (or 5268633 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4004141320 is about 63278.2847428721. The cubic root of 4004141320 is about 1587.9486909930.

Adding to 4004141320 its reverse (231414004), we get a palindrome (4235555324).

The spelling of 4004141320 in words is "four billion, four million, one hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 5268607 10537214 21074428 26343035 42148856 52686070 100103533 105372140 200207066 210744280 400414132 500517665 800828264 1001035330 2002070660 4004141320