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1131029040 = 243517277213
BaseRepresentation
bin100001101101010…
…0010001000110000
32220211020020011110
41003122202020300
54304020412130
6304121513320
740012405521
oct10332421060
92824206143
101131029040
11530488949
12276942840
1315042616b
14aa2d8848
1569464ab0
hex436a2230

1131029040 has 80 divisors (see below), whose sum is σ = 3712449888. Its totient is φ = 283865088.

The previous prime is 1131028991. The next prime is 1131029047. The reversal of 1131029040 is 409201311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1131028998 and 1131029016.

It is not an unprimeable number, because it can be changed into a prime (1131029047) by changing a digit.

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, 134527 + ... + 142686.

Almost surely, 21131029040 is an apocalyptic number.

1131029040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131029040 is an abundant number, since it is smaller than the sum of its proper divisors (2581420848).

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

1131029040 is a wasteful number, since it uses less digits than its factorization.

1131029040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277246 (or 277240 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 1131029040 is about 33630.7751917793. The cubic root of 1131029040 is about 1041.8965148118.

The spelling of 1131029040 in words is "one billion, one hundred thirty-one million, twenty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 277213 554426 831639 1108852 1386065 1663278 2217704 2772130 3326556 4158195 4435408 4712621 5544260 6653112 8316390 9425242 11088520 13306224 14137863 16632780 18850484 22177040 23563105 28275726 33265560 37700968 47126210 56551452 66531120 70689315 75401936 94252420 113102904 141378630 188504840 226205808 282757260 377009680 565514520 1131029040