Search a number
-
+
1205041332 = 22311194111719
BaseRepresentation
bin100011111010011…
…0111100010110100
310002222111102221110
41013310313202310
54431442310312
6315324115020
741601453015
oct10764674264
93088442843
101205041332
1156923a430
12297695a70
1316286b011
14b608300c
1570bd443c
hex47d378b4

1205041332 has 96 divisors (see below), whose sum is σ = 3307852800. Its totient is φ = 337478400.

The previous prime is 1205041309. The next prime is 1205041367. The reversal of 1205041332 is 2331405021.

It is a super-2 number, since 2×12050413322 = 2904249223656668448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1205041299 and 1205041308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96969 + ... + 108687.

It is an arithmetic number, because the mean of its divisors is an integer number (34456800).

Almost surely, 21205041332 is an apocalyptic number.

1205041332 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 1205041332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653926400).

1205041332 is an abundant number, since it is smaller than the sum of its proper divisors (2102811468).

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

1205041332 is a wasteful number, since it uses less digits than its factorization.

1205041332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11797 (or 11795 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1205041332 is about 34713.7052473515. The cubic root of 1205041332 is about 1064.1446053014.

Adding to 1205041332 its reverse (2331405021), we get a palindrome (3536446353).

The spelling of 1205041332 in words is "one billion, two hundred five million, forty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 41 44 57 66 76 82 114 123 132 164 209 228 246 418 451 492 627 779 836 902 1254 1353 1558 1804 2337 2508 2706 3116 4674 5412 8569 9348 11719 17138 23438 25707 34276 35157 46876 51414 70314 102828 128909 140628 222661 257818 386727 445322 480479 515636 667983 773454 890644 960958 1335966 1441437 1546908 1921916 2449271 2671932 2882874 4898542 5285269 5765748 7347813 9129101 9797084 10570538 14695626 15855807 18258202 21141076 27387303 29391252 31711614 36516404 54774606 63423228 100420111 109549212 200840222 301260333 401680444 602520666 1205041332