Search a number
-
+
30559144 = 23721119373
BaseRepresentation
bin111010010010…
…0101110101000
32010111120021011
41310210232220
530310343034
63010553304
7520514500
oct164445650
963446234
1030559144
11162825a0
12a298834
13643c645
1440b6a00
152a39864
hex1d24ba8

30559144 has 96 divisors (see below), whose sum is σ = 76744800. Its totient is φ = 11249280.

The previous prime is 30559141. The next prime is 30559153. The reversal of 30559144 is 44195503.

It is a super-2 number, since 2×305591442 = 1867722564025472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30559141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81742 + ... + 82114.

It is an arithmetic number, because the mean of its divisors is an integer number (799425).

Almost surely, 230559144 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 30559144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38372400).

30559144 is an abundant number, since it is smaller than the sum of its proper divisors (46185656).

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

30559144 is a wasteful number, since it uses less digits than its factorization.

30559144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 30559144 is about 5528.0325614092. The cubic root of 30559144 is about 312.6418138212.

It can be divided in two parts, 30559 and 144, that added together give a palindrome (30703).

The spelling of 30559144 in words is "thirty million, five hundred fifty-nine thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 49 56 76 77 88 98 133 152 154 196 209 266 308 373 392 418 532 539 616 746 836 931 1064 1078 1463 1492 1672 1862 2156 2611 2926 2984 3724 4103 4312 5222 5852 7087 7448 8206 10241 10444 11704 14174 16412 18277 20482 20888 28348 28721 32824 36554 40964 49609 56696 57442 73108 77957 81928 99218 114884 146216 155914 198436 201047 229768 311828 347263 396872 402094 545699 623656 694526 804188 1091398 1389052 1608376 2182796 2778104 3819893 4365592 7639786 15279572 30559144