Search a number
-
+
3025407180 = 2235315772819
BaseRepresentation
bin1011010001010100…
…0000110011001100
321210211211121102210
42310111000303030
522144001012210
61220112550420
7134654352045
oct26425006314
97724747383
103025407180
111312844214
12705252410
13392a3bb83
14209b3b8cc
1512a911e20
hexb4540ccc

3025407180 has 96 divisors (see below), whose sum is σ = 8762664960. Its totient is φ = 779120640.

The previous prime is 3025407169. The next prime is 3025407239. The reversal of 3025407180 is 817045203.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 1071811 + ... + 1074629.

It is an arithmetic number, because the mean of its divisors is an integer number (91277760).

Almost surely, 23025407180 is an apocalyptic number.

3025407180 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 3025407180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4381332480).

3025407180 is an abundant number, since it is smaller than the sum of its proper divisors (5737257780).

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

3025407180 is a wasteful number, since it uses less digits than its factorization.

3025407180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3439 (or 3437 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 3025407180 is about 55003.7015118074. The cubic root of 3025407180 is about 1446.3096295410.

The spelling of 3025407180 in words is "three billion, twenty-five million, four hundred seven thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 577 620 930 1154 1731 1860 2308 2819 2885 3462 5638 5770 6924 8457 8655 11276 11540 14095 16914 17310 17887 28190 33828 34620 35774 42285 53661 56380 71548 84570 87389 89435 107322 169140 174778 178870 214644 262167 268305 349556 357740 436945 524334 536610 873890 1048668 1073220 1310835 1626563 1747780 2621670 3253126 4879689 5243340 6506252 8132815 9759378 16265630 19518756 24398445 32531260 48796890 50423453 97593780 100846906 151270359 201693812 252117265 302540718 504234530 605081436 756351795 1008469060 1512703590 3025407180