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1240031320 = 2351137591291
BaseRepresentation
bin100100111101001…
…0110000001011000
310012102100010011221
41021322112001120
510014422000240
6323014101424
742505043443
oct11172260130
93172303157
101240031320
11586a68980
122a734a874
13169b9c358
14ba99065a
1573ce6a4a
hex49e96058

1240031320 has 128 divisors (see below), whose sum is σ = 3181420800. Its totient is φ = 430963200.

The previous prime is 1240031297. The next prime is 1240031327. The reversal of 1240031320 is 231300421.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1240031294 and 1240031303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1240031327) 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, 959875 + ... + 961165.

It is an arithmetic number, because the mean of its divisors is an integer number (24854850).

Almost surely, 21240031320 is an apocalyptic number.

1240031320 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 1240031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590710400).

1240031320 is an abundant number, since it is smaller than the sum of its proper divisors (1941389480).

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

1240031320 is a wasteful number, since it uses less digits than its factorization.

1240031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1240031320 is about 35214.0784346261. The cubic root of 1240031320 is about 1074.3461161378.

Adding to 1240031320 its reverse (231300421), we get a palindrome (1471331741).

The spelling of 1240031320 in words is "one billion, two hundred forty million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 55 59 74 88 110 118 148 185 220 236 295 296 370 407 440 472 590 649 740 814 1180 1291 1298 1480 1628 2035 2183 2360 2582 2596 3245 3256 4070 4366 5164 5192 6455 6490 8140 8732 10328 10915 12910 12980 14201 16280 17464 21830 24013 25820 25960 28402 43660 47767 48026 51640 56804 71005 76169 87320 95534 96052 113608 120065 142010 152338 191068 192104 238835 240130 284020 304676 380845 382136 477670 480260 525437 568040 609352 761690 837859 955340 960520 1050874 1523380 1675718 1910680 2101748 2627185 2818253 3046760 3351436 4189295 4203496 5254370 5636506 6702872 8378590 10508740 11273012 14091265 16757180 21017480 22546024 28182530 31000783 33514360 56365060 62001566 112730120 124003132 155003915 248006264 310007830 620015660 1240031320