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3941932680 = 233257109113127
BaseRepresentation
bin1110101011110101…
…0001111010001000
3101011201102221001200
43222331101322020
531033113321210
61451053144200
7166453606050
oct35275217210
911151387050
103941932680
111743133404
1292018b060
134aa8a035a
1429575a560
151811050c0
hexeaf51e88

3941932680 has 384 divisors, whose sum is σ = 15023923200. Its totient is φ = 877879296.

The previous prime is 3941932651. The next prime is 3941932691. The reversal of 3941932680 is 862391493.

It is a happy number.

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

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 95 ways as a sum of consecutive naturals, for example, 31038777 + ... + 31038903.

It is an arithmetic number, because the mean of its divisors is an integer number (39124800).

Almost surely, 23941932680 is an apocalyptic number.

3941932680 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 3941932680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7511961600).

3941932680 is an abundant number, since it is smaller than the sum of its proper divisors (11081990520).

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

3941932680 is a wasteful number, since it uses less digits than its factorization.

3941932680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 3941932680 is about 62784.8124947427. The cubic root of 3941932680 is about 1579.6822359418.

The spelling of 3941932680 in words is "three billion, nine hundred forty-one million, nine hundred thirty-two thousand, six hundred eighty".