[go: up one dir, main page]

Search a number
-
+
1132012024 = 2311132103739
BaseRepresentation
bin100001101111001…
…0010000111111000
32220220002011120021
41003132102013320
54304243341044
6304154540224
740023641413
oct10336220770
92826064507
101132012024
11530a9a430
12277137674
131506ab700
14aa4b2b7a
15695aae84
hex437921f8

1132012024 has 96 divisors (see below), whose sum is σ = 2535062400. Its totient is φ = 469722240.

The previous prime is 1132011989. The next prime is 1132012043. The reversal of 1132012024 is 4202102311.

It is a junction number, because it is equal to n+sod(n) for n = 1132011989 and 1132012007.

It is a congruent number.

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, 1531447 + ... + 1532185.

It is an arithmetic number, because the mean of its divisors is an integer number (26406900).

Almost surely, 21132012024 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 1132012024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267531200).

1132012024 is an abundant number, since it is smaller than the sum of its proper divisors (1403050376).

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

1132012024 is a wasteful number, since it uses less digits than its factorization.

1132012024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1132012024 is about 33645.3863701994. The cubic root of 1132012024 is about 1042.1982668763.

Adding to 1132012024 its reverse (4202102311), we get a palindrome (5334114335).

The spelling of 1132012024 in words is "one billion, one hundred thirty-two million, twelve thousand, twenty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 103 104 143 169 206 286 338 412 572 676 739 824 1133 1144 1339 1352 1478 1859 2266 2678 2956 3718 4532 5356 5912 7436 8129 9064 9607 10712 14729 14872 16258 17407 19214 29458 32516 34814 38428 58916 65032 69628 76117 76856 105677 117832 124891 139256 152234 191477 211354 249782 304468 382954 422708 499564 608936 765908 837287 845416 989521 999128 1373801 1531816 1674574 1979042 2747602 3349148 3958084 5495204 6698296 7916168 10884731 10990408 12863773 21769462 25727546 43538924 51455092 87077848 102910184 141501503 283003006 566006012 1132012024