Search a number
-
+
1230140140 = 225317572621
BaseRepresentation
bin100100101010010…
…0111001011101100
310011201201121000221
41021110213023230
510004403441030
6322022101124
742325006255
oct11124471354
93151647027
101230140140
11581422549
122a3b7a7a4
13167b18198
14b9537b2c
1572ee0e7a
hex495272ec

1230140140 has 48 divisors (see below), whose sum is σ = 2671167744. Its totient is φ = 475372800.

The previous prime is 1230140113. The next prime is 1230140141. The reversal of 1230140140 is 410410321.

It is not an unprimeable number, because it can be changed into a prime (1230140141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 468030 + ... + 470650.

It is an arithmetic number, because the mean of its divisors is an integer number (55649328).

Almost surely, 21230140140 is an apocalyptic number.

1230140140 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 1230140140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335583872).

1230140140 is an abundant number, since it is smaller than the sum of its proper divisors (1441027604).

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

1230140140 is a wasteful number, since it uses less digits than its factorization.

1230140140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3418 (or 3416 counting only the distinct ones).

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

The square root of 1230140140 is about 35073.3537033458. The cubic root of 1230140140 is about 1071.4819596846.

Adding to 1230140140 its reverse (410410321), we get a palindrome (1640550461).

It can be divided in two parts, 12301 and 40140, that added together give a square (52441 = 2292).

The spelling of 1230140140 in words is "one billion, two hundred thirty million, one hundred forty thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 757 1514 2621 3028 3785 5242 7570 10484 13105 15140 23467 26210 46934 52420 81251 93868 117335 162502 234670 325004 406255 469340 812510 1625020 1984097 3968194 7936388 9920485 19840970 39681940 61507007 123014014 246028028 307535035 615070070 1230140140