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4030696080 = 243452989241
BaseRepresentation
bin1111000000111111…
…1000101010010000
3101101220110120120000
43300033320222100
531223324233310
61503543450000
7201612231345
oct36017705220
911356416500
104030696080
11178924a694
12945a56900
134c30ab488
142a34647cc
15188cda4c0
hexf03f8a90

4030696080 has 400 divisors, whose sum is σ = 14705420400. Its totient is φ = 1021870080.

The previous prime is 4030696079. The next prime is 4030696127. The reversal of 4030696080 is 806960304.

4030696080 is a `hidden beast` number, since 40 + 3 + 0 + 6 + 9 + 608 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 34433424 + 3996262656 = 5868^2 + 63216^2 .

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 79 ways as a sum of consecutive naturals, for example, 16724760 + ... + 16725000.

It is an arithmetic number, because the mean of its divisors is an integer number (36763551).

Almost surely, 24030696080 is an apocalyptic number.

4030696080 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 4030696080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7352710200).

4030696080 is an abundant number, since it is smaller than the sum of its proper divisors (10674724320).

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

4030696080 is a wasteful number, since it uses less digits than its factorization.

4030696080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4030696080 is about 63487.7632304053. The cubic root of 4030696080 is about 1591.4512915028.

The spelling of 4030696080 in words is "four billion, thirty million, six hundred ninety-six thousand, eighty".