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1130506140 = 2235313716427
BaseRepresentation
bin100001101100010…
…0010011110011100
32220210020122212210
41003120202132130
54303402144030
6304102400420
740005100161
oct10330423634
92823218783
101130506140
11530160aa5
12276730110
131502a215a
14aa200068
15693aebb0
hex4362279c

1130506140 has 96 divisors (see below), whose sum is σ = 3356043264. Its totient is φ = 283841280.

The previous prime is 1130506133. The next prime is 1130506141. The reversal of 1130506140 is 416050311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130506141) 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, 60607 + ... + 77033.

It is an arithmetic number, because the mean of its divisors is an integer number (34958784).

Almost surely, 21130506140 is an apocalyptic number.

1130506140 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 1130506140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678021632).

1130506140 is an abundant number, since it is smaller than the sum of its proper divisors (2225537124).

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

1130506140 is a wasteful number, since it uses less digits than its factorization.

1130506140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16507 (or 16505 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1130506140 is about 33623.0001635785. Note that the first 3 decimals coincide. The cubic root of 1130506140 is about 1041.7359260474.

Adding to 1130506140 its reverse (416050311), we get a palindrome (1546556451).

The spelling of 1130506140 in words is "one billion, one hundred thirty million, five hundred six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 37 60 62 74 93 111 124 148 155 185 186 222 310 370 372 444 465 555 620 740 930 1110 1147 1860 2220 2294 3441 4588 5735 6882 11470 13764 16427 17205 22940 32854 34410 49281 65708 68820 82135 98562 164270 197124 246405 328540 492810 509237 607799 985620 1018474 1215598 1527711 1823397 2036948 2431196 2546185 3038995 3055422 3646794 5092370 6077990 6110844 7293588 7638555 9116985 10184740 12155980 15277110 18233970 18841769 30554220 36467940 37683538 56525307 75367076 94208845 113050614 188417690 226101228 282626535 376835380 565253070 1130506140