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7120132140 = 22351118895711
BaseRepresentation
bin1101010000110010…
…01001100000101100
3200101012210012002210
412220121021200230
5104040223212030
63134305050420
7341305060512
oct65031114054
920335705083
107120132140
113024146730
121468626a10
13896178054
144b78ac4b2
152ba148bb0
hex1a864982c

7120132140 has 96 divisors (see below), whose sum is σ = 21764090880. Its totient is φ = 1724876800.

The previous prime is 7120132133. The next prime is 7120132141. The reversal of 7120132140 is 412310217.

It is not an unprimeable number, because it can be changed into a prime (7120132141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1243885 + ... + 1249595.

It is an arithmetic number, because the mean of its divisors is an integer number (226709280).

Almost surely, 27120132140 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 7120132140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10882045440).

7120132140 is an abundant number, since it is smaller than the sum of its proper divisors (14643958740).

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

7120132140 is a wasteful number, since it uses less digits than its factorization.

7120132140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7623 (or 7621 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 7120132140 is about 84380.8754398768. The cubic root of 7120132140 is about 1923.8122444048.

Adding to 7120132140 its reverse (412310217), we get a palindrome (7532442357).

The spelling of 7120132140 in words is "seven billion, one hundred twenty million, one hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1889 3778 5667 5711 7556 9445 11334 11422 17133 18890 20779 22668 22844 28335 28555 34266 37780 41558 56670 57110 62337 62821 68532 83116 85665 103895 113340 114220 124674 125642 171330 188463 207790 249348 251284 311685 314105 342660 376926 415580 623370 628210 753852 942315 1246740 1256420 1884630 3769260 10788079 21576158 32364237 43152316 53940395 64728474 107880790 118668869 129456948 161821185 215761580 237337738 323642370 356006607 474675476 593344345 647284740 712013214 1186688690 1424026428 1780033035 2373377380 3560066070 7120132140