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3906104160 = 253573137501
BaseRepresentation
bin1110100011010010…
…0110101101100000
3101002020000122120110
43220310212231200
530444430313120
61443333211320
7165540223530
oct35064465540
911066018513
103906104160
111724991962
12910190b40
134a333744a
14290ab14c0
1517cdc92e0
hexe8d26b60

3906104160 has 192 divisors, whose sum is σ = 14515974144. Its totient is φ = 864000000.

The previous prime is 3906104131. The next prime is 3906104197. The reversal of 3906104160 is 614016093.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85410 + ... + 122910.

It is an arithmetic number, because the mean of its divisors is an integer number (75604032).

Almost surely, 23906104160 is an apocalyptic number.

3906104160 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 3906104160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7257987072).

3906104160 is an abundant number, since it is smaller than the sum of its proper divisors (10609869984).

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

3906104160 is a wasteful number, since it uses less digits than its factorization.

3906104160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37557 (or 37549 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 3906104160 is about 62498.8332691099. The cubic root of 3906104160 is about 1574.8817124568.

The spelling of 3906104160 in words is "three billion, nine hundred six million, one hundred four thousand, one hundred sixty".