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4106280960 = 2133354779
BaseRepresentation
bin1111010011000000…
…1110000000000000
3101121011200200112000
43310300032000000
531402201442320
61515243504000
7203520545415
oct36460160000
911534620460
104106280960
111817985731
12967228000
13505954062
142ad4dc10c
1519076ac90
hexf4c0e000

4106280960 has 448 divisors, whose sum is σ = 15098572800. Its totient is φ = 1058144256.

The previous prime is 4106280911. The next prime is 4106280961. The reversal of 4106280960 is 690826014.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4106280961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51978201 + ... + 51978279.

Almost surely, 24106280960 is an apocalyptic number.

4106280960 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 4106280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7549286400).

4106280960 is an abundant number, since it is smaller than the sum of its proper divisors (10992291840).

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

4106280960 is an equidigital number, since it uses as much as digits as its factorization.

4106280960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4106280960 is about 64080.2696623539. The cubic root of 4106280960 is about 1601.3375482081.

The spelling of 4106280960 in words is "four billion, one hundred six million, two hundred eighty thousand, nine hundred sixty".