Search a number
-
+
3013159104 = 26326777727
BaseRepresentation
bin1011001110011001…
…0010100011000000
321202222210100020100
42303212102203000
522132332042404
61214554242400
7134445300264
oct26346224300
97688710210
103013159104
11130693903a
12701126400
13390340ca7
142082700a4
151297e2d39
hexb39928c0

3013159104 has 84 divisors (see below), whose sum is σ = 8650553184. Its totient is φ = 1002772992.

The previous prime is 3013159103. The next prime is 3013159109. The reversal of 3013159104 is 4019513103.

It is not an unprimeable number, because it can be changed into a prime (3013159103) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 386089 + ... + 393815.

It is an arithmetic number, because the mean of its divisors is an integer number (102982776).

Almost surely, 23013159104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3013159104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4325276592).

3013159104 is an abundant number, since it is smaller than the sum of its proper divisors (5637394080).

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

3013159104 is a wasteful number, since it uses less digits than its factorization.

3013159104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8422 (or 8409 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 3013159104 is about 54892.2499447782. The cubic root of 3013159104 is about 1444.3552403417.

The spelling of 3013159104 in words is "three billion, thirteen million, one hundred fifty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 677 1354 2031 2708 4062 5416 6093 7727 8124 10832 12186 15454 16248 21664 23181 24372 30908 32496 43328 46362 48744 61816 64992 69543 92724 97488 123632 129984 139086 185448 194976 247264 278172 370896 389952 494528 556344 741792 1112688 1483584 2225376 4450752 5231179 10462358 15693537 20924716 31387074 41849432 47080611 62774148 83698864 94161222 125548296 167397728 188322444 251096592 334795456 376644888 502193184 753289776 1004386368 1506579552 3013159104