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4060990080 = 27345719231
BaseRepresentation
bin1111001000001101…
…1100101010000000
3101111000110200010000
43302003130222000
531304103140310
61510545040000
7202430563140
oct36203345200
911430420100
104060990080
1117a4360a54
12954026000
134c9457214
142a74ac920
1518b7c14c0
hexf20dca80

4060990080 has 960 divisors, whose sum is σ = 18056839680. Its totient is φ = 851005440.

The previous prime is 4060990079. The next prime is 4060990091. The reversal of 4060990080 is 800990604.

4060990080 is a `hidden beast` number, since 40 + 609 + 9 + 0 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 130999665 + ... + 130999695.

It is an arithmetic number, because the mean of its divisors is an integer number (18809208).

Almost surely, 24060990080 is an apocalyptic number.

4060990080 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 4060990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9028419840).

4060990080 is an abundant number, since it is smaller than the sum of its proper divisors (13995849600).

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

4060990080 is a wasteful number, since it uses less digits than its factorization.

4060990080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 4060990080 is about 63725.8980321188. The cubic root of 4060990080 is about 1595.4283667133.

The spelling of 4060990080 in words is "four billion, sixty million, nine hundred ninety thousand, eighty".