Search a number
-
+
4096907640 = 233357277417
BaseRepresentation
bin1111010000110001…
…1101100101111000
3101120112001110202000
43310030131211320
531342302021030
61514310541000
7203345066100
oct36414354570
911515043660
104096907640
111812663391
12964067760
13503a21807
142ac17c200
1518ea18860
hexf431d978

4096907640 has 192 divisors, whose sum is σ = 15886173600. Its totient is φ = 936423936.

The previous prime is 4096907629. The next prime is 4096907653. The reversal of 4096907640 is 467096904.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 14212 + ... + 91628.

Almost surely, 24096907640 is an apocalyptic number.

4096907640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4096907640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7943086800).

4096907640 is an abundant number, since it is smaller than the sum of its proper divisors (11789265960).

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

4096907640 is a wasteful number, since it uses less digits than its factorization.

4096907640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77451 (or 77434 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 4096907640 is about 64007.0905447201. The cubic root of 4096907640 is about 1600.1181735633.

The spelling of 4096907640 in words is "four billion, ninety-six million, nine hundred seven thousand, six hundred forty".