Search a number
-
+
1352776230 = 2325136717257
BaseRepresentation
bin101000010100001…
…1011101000100110
310111021111011010100
41100220123220212
510232302314410
6342122404530
745344260011
oct12050335046
93437434110
101352776230
11634674893
12319060746
13187355c10
14cb93c378
157db678c0
hex50a1ba26

1352776230 has 96 divisors (see below), whose sum is σ = 3844530144. Its totient is φ = 328002048.

The previous prime is 1352776189. The next prime is 1352776267. The reversal of 1352776230 is 326772531.

1352776230 is a `hidden beast` number, since 1 + 3 + 5 + 27 + 7 + 623 + 0 = 666.

It is a Curzon number.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 69762 + ... + 87018.

It is an arithmetic number, because the mean of its divisors is an integer number (40047189).

Almost surely, 21352776230 is an apocalyptic number.

1352776230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1352776230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1922265072).

1352776230 is an abundant number, since it is smaller than the sum of its proper divisors (2491753914).

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

1352776230 is a wasteful number, since it uses less digits than its factorization.

1352776230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17350 (or 17347 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 1352776230 is about 36780.1064435654. The cubic root of 1352776230 is about 1105.9665396498.

The spelling of 1352776230 in words is "one billion, three hundred fifty-two million, seven hundred seventy-six thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 67 78 90 117 130 134 195 201 234 335 390 402 585 603 670 871 1005 1170 1206 1742 2010 2613 3015 4355 5226 6030 7839 8710 13065 15678 17257 26130 34514 39195 51771 78390 86285 103542 155313 172570 224341 258855 310626 448682 517710 673023 776565 1121705 1156219 1346046 1553130 2019069 2243410 2312438 3365115 3468657 4038138 5781095 6730230 6937314 10095345 10405971 11562190 15030847 17343285 20190690 20811942 30061694 34686570 45092541 52029855 75154235 90185082 104059710 135277623 150308470 225462705 270555246 450925410 676388115 1352776230