Search a number
-
+
1120401342 = 233411313863
BaseRepresentation
bin100001011000111…
…1111011110111110
32220002020021201000
41002301333132332
54243310320332
6303102031130
736523153134
oct10261773676
92802207630
101120401342
1152548a125
122732784a6
1314b174998
14a8b2d754
1568565b7c
hex42c7f7be

1120401342 has 64 divisors (see below), whose sum is σ = 2570641920. Its totient is φ = 361483200.

The previous prime is 1120401311. The next prime is 1120401343. The reversal of 1120401342 is 2431040211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120401343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288103 + ... + 291965.

It is an arithmetic number, because the mean of its divisors is an integer number (40166280).

Almost surely, 21120401342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120401342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285320960).

1120401342 is an abundant number, since it is smaller than the sum of its proper divisors (1450240578).

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

1120401342 is a wasteful number, since it uses less digits than its factorization.

1120401342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4046 (or 4040 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1120401342 is about 33472.3967172953. The cubic root of 1120401342 is about 1038.6228511496.

Adding to 1120401342 its reverse (2431040211), we get a palindrome (3551441553).

The spelling of 1120401342 in words is "one billion, one hundred twenty million, four hundred one thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 131 246 262 369 393 738 786 1107 1179 2214 2358 3537 3863 5371 7074 7726 10742 11589 16113 23178 32226 34767 48339 69534 96678 104301 145017 158383 208602 290034 316766 475149 506053 950298 1012106 1425447 1518159 2850894 3036318 4276341 4554477 8552682 9108954 13663431 20748173 27326862 41496346 62244519 124489038 186733557 373467114 560200671 1120401342