Search a number
-
+
1130432140 = 225375033037
BaseRepresentation
bin100001101100001…
…0000011010001100
32220210002220101001
41003120100122030
54303342312030
6304101030044
740004341345
oct10330203214
92823086331
101130432140
11530110442
122766b5324
13150277576
14aa1c10cc
1569397cca
hex4361068c

1130432140 has 48 divisors (see below), whose sum is σ = 2443718592. Its totient is φ = 438932736.

The previous prime is 1130432137. The next prime is 1130432183. The reversal of 1130432140 is 412340311.

It is a super-3 number, since 3×11304321403 (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370702 + ... + 373738.

It is an arithmetic number, because the mean of its divisors is an integer number (50910804).

Almost surely, 21130432140 is an apocalyptic number.

1130432140 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 1130432140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221859296).

1130432140 is an abundant number, since it is smaller than the sum of its proper divisors (1313286452).

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

1130432140 is a wasteful number, since it uses less digits than its factorization.

1130432140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3586 (or 3584 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1130432140 is about 33621.8997083746. The cubic root of 1130432140 is about 1041.7131957741.

Adding to 1130432140 its reverse (412340311), we get a palindrome (1542772451).

The spelling of 1130432140 in words is "one billion, one hundred thirty million, four hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 503 740 1006 2012 2515 3037 5030 6074 10060 12148 15185 18611 30370 37222 60740 74444 93055 112369 186110 224738 372220 449476 561845 1123690 1527611 2247380 3055222 6110444 7638055 15276110 30552220 56521607 113043214 226086428 282608035 565216070 1130432140