Search a number
-
+
3950000640 = 2934543443
BaseRepresentation
bin1110101101110000…
…0011101000000000
3101012021121211020000
43223130003220000
531042200010030
61451542120000
7166612310565
oct35334035000
911167554200
103950000640
111747743a43
12922a20000
134ac4666b1
1429685a86c
15181b9a860
hexeb703a00

3950000640 has 400 divisors, whose sum is σ = 14509348128. Its totient is φ = 1026514944.

The previous prime is 3950000569. The next prime is 3950000701. The reversal of 3950000640 is 460000593.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8916259 + ... + 8916701.

Almost surely, 23950000640 is an apocalyptic number.

3950000640 is a gapful number since it is divisible by the number (30) 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 3950000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7254674064).

3950000640 is an abundant number, since it is smaller than the sum of its proper divisors (10559347488).

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

3950000640 is an equidigital number, since it uses as much as digits as its factorization.

3950000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3950000640 is about 62849.0305414491. The cubic root of 3950000640 is about 1580.7592142547.

The spelling of 3950000640 in words is "three billion, nine hundred fifty million, six hundred forty", and thus it is an aban number.