Search a number
-
+
1142015424 = 26311249157
BaseRepresentation
bin100010000010001…
…1100010111000000
32221120220101122120
41010010130113000
54314323443144
6305153204240
740204654014
oct10404342700
92846811576
101142015424
11536702100
1227a560680
131527a1994
14ab958544
156a3d4e19
hex4411c5c0

1142015424 has 84 divisors (see below), whose sum is σ = 3321311112. Its totient is φ = 346058240.

The previous prime is 1142015419. The next prime is 1142015437. The reversal of 1142015424 is 4245102411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1142015394 and 1142015403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1347 + ... + 47810.

It is an arithmetic number, because the mean of its divisors is an integer number (39539418).

Almost surely, 21142015424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142015424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660655556).

1142015424 is an abundant number, since it is smaller than the sum of its proper divisors (2179295688).

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

1142015424 is a wasteful number, since it uses less digits than its factorization.

1142015424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49194 (or 49173 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 1142015424 is about 33793.7187062922. The cubic root of 1142015424 is about 1045.2591785578.

Adding to 1142015424 its reverse (4245102411), we get a palindrome (5387117835).

The spelling of 1142015424 in words is "one billion, one hundred forty-two million, fifteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 132 176 192 242 264 352 363 484 528 704 726 968 1056 1452 1936 2112 2904 3872 5808 7744 11616 23232 49157 98314 147471 196628 294942 393256 540727 589884 786512 1081454 1179768 1573024 1622181 2162908 2359536 3146048 3244362 4325816 4719072 5947997 6488724 8651632 9438144 11895994 12977448 17303264 17843991 23791988 25954896 34606528 35687982 47583976 51909792 71375964 95167952 103819584 142751928 190335904 285503856 380671808 571007712 1142015424