Search a number
-
+
4007297940 = 223566788299
BaseRepresentation
bin1110111011011010…
…1000001110010100
3101100021102211100020
43232312220032110
531201332013230
61501350145140
7201206320242
oct35666501624
911307384306
104007297940
111777019288
1293a0521b0
134bb2a8419
142a02d3792
15186c17810
hexeeda8394

4007297940 has 24 divisors (see below), whose sum is σ = 11220434400. Its totient is φ = 1068612768.

The previous prime is 4007297887. The next prime is 4007297941. The reversal of 4007297940 is 497927004.

It is a junction number, because it is equal to n+sod(n) for n = 4007297892 and 4007297901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4007297941) 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 7 ways as a sum of consecutive naturals, for example, 33394090 + ... + 33394209.

It is an arithmetic number, because the mean of its divisors is an integer number (467518100).

Almost surely, 24007297940 is an apocalyptic number.

It is an amenable number.

4007297940 is an abundant number, since it is smaller than the sum of its proper divisors (7213136460).

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

4007297940 is a wasteful number, since it uses less digits than its factorization.

4007297940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66788311 (or 66788309 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 4007297940 is about 63303.2221928710. Note that the first 3 decimals coincide. The cubic root of 4007297940 is about 1588.3658619149.

The spelling of 4007297940 in words is "four billion, seven million, two hundred ninety-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 66788299 133576598 200364897 267153196 333941495 400729794 667882990 801459588 1001824485 1335765980 2003648970 4007297940