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4106848320 = 2632510713327
BaseRepresentation
bin1111010011001001…
…1000100001000000
3101121012202111210100
43310302120201000
531402323121240
61515304002400
7203525430501
oct36462304100
911535674710
104106848320
111818232a23
12967460400
13505ac2383
142ad608ba8
1519082de30
hexf4c98840

4106848320 has 168 divisors, whose sum is σ = 14258934144. Its totient is φ = 1084843008.

The previous prime is 4106848313. The next prime is 4106848331. The reversal of 4106848320 is 238486014.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301497 + ... + 314823.

It is an arithmetic number, because the mean of its divisors is an integer number (84874608).

Almost surely, 24106848320 is an apocalyptic number.

4106848320 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 4106848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7129467072).

4106848320 is an abundant number, since it is smaller than the sum of its proper divisors (10152085824).

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

4106848320 is a wasteful number, since it uses less digits than its factorization.

4106848320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13457 (or 13444 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4106848320 is about 64084.6964571106. The cubic root of 4106848320 is about 1601.4112964521.

The spelling of 4106848320 in words is "four billion, one hundred six million, eight hundred forty-eight thousand, three hundred twenty".