Search a number
-
+
1361010432 = 2831924909
BaseRepresentation
bin101000100011111…
…0101111100000000
310111211222111022210
41101013311330000
510241404313212
6343015102120
745504253305
oct12107657400
93454874283
101361010432
11639289311
1231b971940
13188c79b22
14cca830ac
157e74253c
hex511f5f00

1361010432 has 108 divisors (see below), whose sum is σ = 3823731240. Its totient is φ = 429705216.

The previous prime is 1361010389. The next prime is 1361010439. The reversal of 1361010432 is 2340101631.

It is a junction number, because it is equal to n+sod(n) for n = 1361010399 and 1361010408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361010439) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 274794 + ... + 279702.

Almost surely, 21361010432 is an apocalyptic number.

1361010432 is a gapful number since it is divisible by the number (12) 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 1361010432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911865620).

1361010432 is an abundant number, since it is smaller than the sum of its proper divisors (2462720808).

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

1361010432 is an equidigital number, since it uses as much as digits as its factorization.

1361010432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4966 (or 4933 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1361010432 is about 36891.8748778102. The cubic root of 1361010432 is about 1108.2059681307.

It can be divided in two parts, 13610 and 10432, that added together give a palindrome (24042).

The spelling of 1361010432 in words is "one billion, three hundred sixty-one million, ten thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 361 384 456 608 722 768 912 1083 1216 1444 1824 2166 2432 2888 3648 4332 4864 4909 5776 7296 8664 9818 11552 14592 14727 17328 19636 23104 29454 34656 39272 46208 58908 69312 78544 92416 93271 117816 138624 157088 186542 235632 277248 279813 314176 373084 471264 559626 628352 746168 942528 1119252 1256704 1492336 1772149 1885056 2238504 2984672 3544298 3770112 4477008 5316447 5969344 7088596 8954016 10632894 11938688 14177192 17908032 21265788 23877376 28354384 35816064 42531576 56708768 71632128 85063152 113417536 170126304 226835072 340252608 453670144 680505216 1361010432