Search a number
-
+
4074106080 = 2535111097079
BaseRepresentation
bin1111001011010101…
…1110110011100000
3101111221011000212210
43302311132303200
531320432343310
61512134122120
7202650221202
oct36265366340
911457130783
104074106080
1118007aa220
129584b0340
134cc09a175
142a9124772
1518ca12820
hexf2d5ece0

4074106080 has 192 divisors, whose sum is σ = 14130547200. Its totient is φ = 978462720.

The previous prime is 4074106063. The next prime is 4074106159. The reversal of 4074106080 is 806014704.

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, 571981 + ... + 579059.

It is an arithmetic number, because the mean of its divisors is an integer number (73596600).

Almost surely, 24074106080 is an apocalyptic number.

4074106080 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 4074106080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7065273600).

4074106080 is an abundant number, since it is smaller than the sum of its proper divisors (10056441120).

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

4074106080 is a wasteful number, since it uses less digits than its factorization.

4074106080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7217 (or 7209 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 4074106080 is about 63828.7245681754. The cubic root of 4074106080 is about 1597.1441347205.

The spelling of 4074106080 in words is "four billion, seventy-four million, one hundred six thousand, eighty".