Search a number
-
+
30559880 = 23513173457
BaseRepresentation
bin111010010010…
…0111010001000
32010111121021102
41310210322020
530310404010
63011000532
7520516601
oct164447210
963447242
1030559880
11162830aa
12a299148
13643ca90
1440b6da8
152a39ba5
hex1d24e88

30559880 has 64 divisors (see below), whose sum is σ = 78427440. Its totient is φ = 10616832.

The previous prime is 30559877. The next prime is 30559901. The reversal of 30559880 is 8895503.

It can be written as a sum of positive squares in 8 ways, for example, as 3290596 + 27269284 = 1814^2 + 5222^2 .

It is a super-2 number, since 2×305598802 = 1867812531228800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7112 + ... + 10568.

Almost surely, 230559880 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 30559880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39213720).

30559880 is an abundant number, since it is smaller than the sum of its proper divisors (47867560).

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

30559880 is a wasteful number, since it uses less digits than its factorization.

30559880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3498 (or 3494 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 38.

The square root of 30559880 is about 5528.0991308044. The cubic root of 30559880 is about 312.6443237358.

The spelling of 30559880 in words is "thirty million, five hundred fifty-nine thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 680 884 1105 1768 2210 3457 4420 6914 8840 13828 17285 27656 34570 44941 58769 69140 89882 117538 138280 179764 224705 235076 293845 359528 449410 470152 587690 763997 898820 1175380 1527994 1797640 2350760 3055988 3819985 6111976 7639970 15279940 30559880