Search a number
-
+
3066529440 = 253513503977
BaseRepresentation
bin1011011011000111…
…1000011010100000
321220201012211120110
42312301320122200
522240012420230
61224142211320
7135664033032
oct26661703240
97821184513
103066529440
111333a80a57
12716b83b40
1339b409480
142113a3c52
1512e3364b0
hexb6c786a0

3066529440 has 192 divisors, whose sum is σ = 10433961216. Its totient is φ = 752566272.

The previous prime is 3066529421. The next prime is 3066529447. The reversal of 3066529440 is 449256603.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (3066529447) 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, 3138232 + ... + 3139208.

It is an arithmetic number, because the mean of its divisors is an integer number (54343548).

Almost surely, 23066529440 is an apocalyptic number.

3066529440 is a gapful number since it is divisible by the number (30) 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 3066529440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5216980608).

3066529440 is an abundant number, since it is smaller than the sum of its proper divisors (7367431776).

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

3066529440 is a wasteful number, since it uses less digits than its factorization.

3066529440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 3066529440 is about 55376.2533943928. The cubic root of 3066529440 is about 1452.8330564017.

The spelling of 3066529440 in words is "three billion, sixty-six million, five hundred twenty-nine thousand, four hundred forty".