Search a number
-
+
1120423720 = 23513972229
BaseRepresentation
bin100001011001000…
…0100111100101000
32220002021102101211
41002302010330220
54243312024340
6303102322504
736523305313
oct10262047450
92802242354
101120423720
115254a4a19
12273289434
1314b181c20
14a8b3797a
156856c5ea
hex42c84f28

1120423720 has 96 divisors (see below), whose sum is σ = 2755128600. Its totient is φ = 407642112.

The previous prime is 1120423697. The next prime is 1120423813. The reversal of 1120423720 is 273240211.

It can be written as a sum of positive squares in 12 ways, for example, as 121484484 + 998939236 = 11022^2 + 31606^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1120423691 and 1120423700.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4892566 + ... + 4892794.

Almost surely, 21120423720 is an apocalyptic number.

1120423720 is a gapful number since it is divisible by the number (10) 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 1120423720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377564300).

1120423720 is an abundant number, since it is smaller than the sum of its proper divisors (1634704880).

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

1120423720 is a wasteful number, since it uses less digits than its factorization.

1120423720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 1120423720 is about 33472.7309910620. The cubic root of 1120423720 is about 1038.6297659775.

Adding to 1120423720 its reverse (273240211), we get a palindrome (1393663931).

The spelling of 1120423720 in words is "one billion, one hundred twenty million, four hundred twenty-three thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 97 104 130 194 229 260 388 458 485 520 776 916 970 1145 1261 1832 1940 2290 2522 2977 3880 4580 5044 5954 6305 9160 9409 10088 11908 12610 14885 18818 22213 23816 25220 29770 37636 44426 47045 50440 59540 75272 88852 94090 111065 119080 122317 177704 188180 222130 244634 288769 376360 444260 489268 577538 611585 888520 978536 1155076 1223170 1443845 2154661 2310152 2446340 2887690 4309322 4892680 5775380 8618644 10773305 11550760 17237288 21546610 28010593 43093220 56021186 86186440 112042372 140052965 224084744 280105930 560211860 1120423720