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1240330240 = 212571853
BaseRepresentation
bin100100111101101…
…1111000000000000
310012102220022020001
41021323133000000
510020011031430
6323024325344
742510430102
oct11173370000
93172808201
101240330240
11587152516
122a7473854
13169c75426
14baa2b572
1573d553ca
hex49edf000

1240330240 has 104 divisors (see below), whose sum is σ = 3021889248. Its totient is φ = 488570880.

The previous prime is 1240330219. The next prime is 1240330249. The reversal of 1240330240 is 420330421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1240330249) 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 7 ways as a sum of consecutive naturals, for example, 1453654 + ... + 1454506.

Almost surely, 21240330240 is an apocalyptic number.

1240330240 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 1240330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510944624).

1240330240 is an abundant number, since it is smaller than the sum of its proper divisors (1781559008).

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

1240330240 is an frugal number, since it uses more digits than its factorization.

1240330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 1240330240 is about 35218.3225040603. The cubic root of 1240330240 is about 1074.4324359306.

Adding to 1240330240 its reverse (420330421), we get a palindrome (1660660661).

The spelling of 1240330240 in words is "one billion, two hundred forty million, three hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 128 142 160 256 284 320 355 512 568 640 710 853 1024 1136 1280 1420 1706 2048 2272 2560 2840 3412 4096 4265 4544 5120 5680 6824 8530 9088 10240 11360 13648 17060 18176 20480 22720 27296 34120 36352 45440 54592 60563 68240 72704 90880 109184 121126 136480 145408 181760 218368 242252 272960 290816 302815 363520 436736 484504 545920 605630 727040 873472 969008 1091840 1211260 1454080 1746944 1938016 2183680 2422520 3493888 3876032 4367360 4845040 7752064 8734720 9690080 15504128 17469440 19380160 31008256 38760320 62016512 77520640 124033024 155041280 248066048 310082560 620165120 1240330240